It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 3, which represents how many parts out of the whole, and the denominator (number below), here 21, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
2026-02-28 17:12
Diff
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header_loginBtn">Login</a></div><div style="margin-top:100px" class="jsx-310fa80e5bd5699a mainContainer"><div style="min-width:25vw;width:25vw" class="jsx-310fa80e5bd5699a leftContainer"><div class="jsx-310fa80e5bd5699a sidePopUp fixed"><div class="jsx-3b7718d8d3756f77 outerMostContainer"><p class="jsx-3b7718d8d3756f77 navigationTxt"> <!-- -->Table Of Contents</p><div class="jsx-3b7718d8d3756f77 topicContainer"><a href="#what-is-321-as-a-decimal" class="jsx-3b7718d8d3756f77">What is 3/21 as a decimal?</a></div><div class="jsx-3b7718d8d3756f77 topicContainer"><a href="#important-glossaries-for-321-as-a-decimal" class="jsx-3b7718d8d3756f77">Important Glossaries for 3/21 as a decimal</a></div></div></div></div><div class="jsx-310fa80e5bd5699a centerContainer"> <nav class="jsx-8b9a0e4d435d91a3 breadcrumbs breadcrumbs2"><ul class="jsx-8b9a0e4d435d91a3"><li class="jsx-8b9a0e4d435d91a3"><a href="/en-us/math" class="jsx-8b9a0e4d435d91a3">Math</a></li><li class="jsx-8b9a0e4d435d91a3"><a 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height="15.3" width="19.2" style="transform:translateX(-3px)" class="jsx-5cb6d03d64c10f3f learnerImage"/>288 Learners</div><p class="jsx-5cb6d03d64c10f3f lastUpdatedTxt">Last updated on<strong class="jsx-5cb6d03d64c10f3f"> <!-- -->August 5, 2025</strong></p></div><div class="jsx-5cb6d03d64c10f3f mainContentContainer"><div class="jsx-5cb6d03d64c10f3f imageContainer mathsImageContainer "><div style="background:#ffd83f;width:100%" class="jsx-5cb6d03d64c10f3f"><div style="background:black;border-radius:24px;width:100%;height:100%;display:flex;align-items:center;justify-content:center" class="jsx-5cb6d03d64c10f3f"><h1 style="font-size:40px;line-height:110%" class="jsx-5cb6d03d64c10f3f subjectName subjectNameMath">3/21 as a Decimal</h1></div></div><div class="jsx-5cb6d03d64c10f3f mascotImgWrapper mascotImgWrapperMath"><img src="https://ik.imagekit.io/brightchamps/tr:w-200,c-maintain_ratio,q-100,f-webp/website/introTeacher.webp" width="134" height="249" alt="Professor Greenline Explaining Math Concepts" style="width:100%;height:100%" class="jsx-5cb6d03d64c10f3f mascotImg"/></div></div><div class="jsx-5cb6d03d64c10f3f mainTextContainer"><p class="jsx-5cb6d03d64c10f3f description descriptionMath">It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 3, which represents how many parts out of the whole, and the denominator (number below), here 21, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.</p></div></div></div><div id="what-is-321-as-a-decimal" style="display:flex;flex-direction:column;gap:10px" class="jsx-310fa80e5bd5699a"><div class="greenContainer" style="background-image:url(https://ik.imagekit.io/brightchamps/tr:w-400,c-maintain_ratio,q-100,f-webp/website/yellowLines.webp);background-size:contain;background-repeat:repeat-x"><div class="combinedCss-module__F6Nnda__greenBackgroundContainer"><div class="combinedCss-module__F6Nnda__outerMostContainer "><div class="combinedCss-module__F6Nnda__mascotTextContainer
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">What is 3/21 as a decimal?</h2></div></div></div><div class="combinedCss-module__F6Nnda__plainTxt plainTxt" data-page-type="math"><p><img alt="3/21 as a decimal" src="https://ik.imagekit.io/brightchamps/tr:w-800,c-maintain_ratio,q-75,f-auto/math/math-questions/3-21-as-a-decimal.png" style="height:100%; margin-bottom:10px; margin-top:10px; width:100%" / loading="lazy"></p>
<h3> </h3>
<h3><strong>Answer</strong></h3>
<p> </p>
<p>3/21 in <a href="/en-us/math/numbers/decimals" target="_blank" class="hyperLink" style="color:blue">decimals</a> can be written as 0.142857….. It is a <a href="/en-us/math/numbers/recurring-decimal" target="_blank" class="hyperLink" style="color:blue">recurring decimal</a>, showing it will repeat the same <a href="/en-us/math/algebra/sequences" target="_blank" class="hyperLink" style="color:blue">sequence</a> <a href="/en-us/math/algebra/what-does-of-mean-in-algebra" target="_blank" class="hyperLink" style="color:blue">of</a> digits infinitely.</p>
<p> </p>
<h3><strong>Explanation</strong></h3>
<p> </p>
<p>To get 3/21 in decimal, we will use the <a href="/en-us/math/numbers/division" target="_blank" class="hyperLink" style="color:blue">division</a> method. Here, as 3 is smaller than 21, we will use the decimal method, which will give us 0.142857. Let's see the step-by-step breakdown of the process:</p>
<p> </p>
<p><strong>Step 1:</strong> Identify the <a href="/en-us/math/numbers/numerator-and-denominator" target="_blank" class="hyperLink" style="color:blue">numerator and denominator</a> because the numerator (3) will be taken as the <a href="/en-us/math/numbers/dividend" target="_blank" class="hyperLink" style="color:blue">dividend</a> and the denominator (21) will be taken as the divisor.</p>
<p> </p>
<p><strong>Step 2: </strong>As 3 is smaller than 21, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 3 as 30, and add a decimal point in the quotient place.</p>
<p> </p>
<p><strong>Step 3: </strong>Now that it is 30, we can divide it by 21. Let's see how many times 21 fits into 30.</p>
<p> </p>
<p><strong>Step 4:</strong> 21 fits into 30 once, so we write 1 in the quotient place and subtract 21 from 30, which gives 9.</p>
<p> </p>
<p><strong>Step 5: </strong>Bring down another 0 in the dividend place, making it 90, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.</p>
<p> </p>
<p><strong>The answer for 3/21 as a decimal will be 0.142857……</strong></p>
</div></div></div><div id="important-glossaries-for-321-as-a-decimal" style="display:flex;flex-direction:column;gap:10px" class="jsx-310fa80e5bd5699a"><div class="greenContainer" style="background-image:url(https://ik.imagekit.io/brightchamps/tr:w-400,c-maintain_ratio,q-100,f-webp/website/yellowLines.webp);background-size:contain;background-repeat:repeat-x"><div class="combinedCss-module__F6Nnda__greenBackgroundContainer"><div class="combinedCss-module__F6Nnda__outerMostContainer "><div class="combinedCss-module__F6Nnda__mascotTextContainer
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">Important Glossaries for 3/21 as a decimal</h2></div></div></div><div class="combinedCss-module__F6Nnda__plainTxt plainTxt" data-page-type="math"><ul>
<li><strong>Fraction:</strong> A numerical quantity that is not a whole number, representing a part of a whole.</li>
</ul>
<p> </p>
<ul>
<li><strong>Decimal: </strong>A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.</li>
</ul>
<p> </p>
<ul>
<li><strong>Numerator:</strong> The top part of a fraction, indicating how many parts of the whole are being considered.</li>
</ul>
<p> </p>
<ul>
<li><strong>Denominator:</strong> The bottom part of a fraction, showing how many parts make up a whole.</li>
</ul>
<p> </p>
<ul>
<li><strong>Recurring Decimal:</strong> A decimal in which a sequence of digits repeats indefinitely.</li>
</ul>
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Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 3, which represents how many parts out of the whole, and the denominator (number below), here 21, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.","category":"math","subcategory":"math-questions","page_type":"topic","sequence":391225,"url":"/math/math-questions/3-21-as-a-decimal","meta_title":"What is 3/21 as a Decimal [Solved]","meta_description":"Learn how to convert 3/21 into a decimal easily! Quick, step-by-step guide for accurate results. Perfect for students and math enthusiasts.","meta_image":"","writer":null,"sections":[{"body":"\u003cp\u003e\u003cimg alt=\"3/21 as a decimal\" src=\"https://ik.imagekit.io/brightchamps/math/math-questions/3-21-as-a-decimal.png\" style=\"height:100%; margin-bottom:10px; margin-top:10px; width:100%\" /\u003e\u003c/p\u003e\r\n\r\n\u003ch3\u003e\u0026nbsp;\u003c/h3\u003e\r\n\r\n\u003ch3\u003e\u003cstrong\u003eAnswer\u003c/strong\u003e\u003c/h3\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e3/21 in \u003ca href=\"/en-us/math/numbers/decimals\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003edecimals\u003c/a\u003e can be written as 0.142857\u0026hellip;.. It is a \u003ca href=\"/en-us/math/numbers/recurring-decimal\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003erecurring decimal\u003c/a\u003e, showing it will repeat the same \u003ca href=\"/en-us/math/algebra/sequences\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003esequence\u003c/a\u003e \u003ca href=\"/en-us/math/algebra/what-does-of-mean-in-algebra\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003eof\u003c/a\u003e digits infinitely.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003ch3\u003e\u003cstrong\u003eExplanation\u003c/strong\u003e\u003c/h3\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003eTo get 3/21 in decimal, we will use the \u003ca href=\"/en-us/math/numbers/division\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003edivision\u003c/a\u003e method. Here, as 3 is smaller than 21, we will use the decimal method, which will give us 0.142857. Let\u0026#39;s see the step-by-step breakdown of the process:\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 1:\u003c/strong\u003e Identify the \u003ca href=\"/en-us/math/numbers/numerator-and-denominator\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003enumerator and denominator\u003c/a\u003e because the numerator (3) will be taken as the \u003ca href=\"/en-us/math/numbers/dividend\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003edividend\u003c/a\u003e and the denominator (21) will be taken as the divisor.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 2: \u003c/strong\u003eAs 3 is smaller than 21, it can\u0026#39;t be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 3 as 30, and add a decimal point in the quotient place.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 3: \u003c/strong\u003eNow that it is 30, we can divide it by 21. Let\u0026#39;s see how many times 21 fits into 30.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 4:\u003c/strong\u003e 21 fits into 30 once, so we write 1 in the quotient place and subtract 21 from 30, which gives 9.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 5: \u003c/strong\u003eBring down another 0 in the dividend place, making it 90, and then repeat the division process. The division process continues, and we don\u0026#39;t get the remainder as 0. This process is called a recurring decimal.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eThe answer for 3/21 as a decimal will be 0.142857\u0026hellip;\u0026hellip;\u003c/strong\u003e\u003c/p\u003e\r\n","headingText":"What is 3/21 as a decimal?","headingType":"H2","sectionType":"plainText"},{"body":"\u003cul\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eFraction:\u003c/strong\u003e A numerical quantity that is not a whole number, representing a part of a whole.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cul\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eDecimal: \u003c/strong\u003eA number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cul\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eNumerator:\u003c/strong\u003e The top part of a fraction, indicating how many parts of the whole are being considered.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cul\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eDenominator:\u003c/strong\u003e The bottom part of a fraction, showing how many parts make up a whole.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cul\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eRecurring Decimal:\u003c/strong\u003e A decimal in which a sequence of digits repeats indefinitely.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n","headingText":"Important Glossaries for 3/21 as a decimal","headingType":"H2","sectionType":"plainText"},{"links":[{"category":"Previous to 3/21 as a Decimal","catelinks":[{"id":11353,"url":"/math/math-questions/minus-7-10-as-a-decimal","name":"-7/10 as a Decimal"},{"id":11354,"url":"/math/math-questions/49-4-as-a-decimal","name":"49/4 as a 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