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Icon" height="15.3" width="19.2" style="transform:translateX(-3px)" class="jsx-5cb6d03d64c10f3f learnerImage"/>693 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">0.66666 as a Fraction</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">Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2; numbers in decimal are expressed with a decimal point (.), for example, 0.66666. We are going to learn how to convert a repeating decimal to a fraction.</p></div></div></div><div id="what-is-066666-as-a-fraction" 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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combinedCss-module__F6Nnda__headingTxt
">What is 0.66666 as a Fraction?</h2></div></div></div><div class="combinedCss-module__F6Nnda__plainTxt plainTxt" data-page-type="math"><p><img alt="0.66666 as a fraction" src="https://ik.imagekit.io/brightchamps/tr:w-800,c-maintain_ratio,q-75,f-auto/math/math-questions/0.66666-as-a-fraction.png" style="height:100%; margin-bottom:10px; margin-top:10px; width:100%" / loading="lazy"></p>
<h3><strong>Answer</strong></h3>
<p> </p>
<p>The answer for 0.66666 as a <a href="/en-us/math/numbers/fractions" target="_blank" class="hyperLink" style="color:blue">fraction</a> will be 2/3.</p>
<p> </p>
<h3><strong>Explanation</strong></h3>
<p> </p>
<p>Converting a repeating <a href="/en-us/math/numbers/decimals" target="_blank" class="hyperLink" style="color:blue">decimal</a> to a fraction can be done through a few steps. You can follow the steps mentioned below to find the answer.</p>
<p> </p>
<p><strong>Step 1: </strong>Let x = 0.66666... (where the 6 repeats infinitely).</p>
<p> </p>
<p><strong>Step 2: </strong>Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 6.66666...</p>
<p> </p>
<p><strong>Step 3:</strong> Now, subtract the original x from this <a href="/en-us/math/algebra/equation" target="_blank" class="hyperLink" style="color:blue">equation</a> to eliminate the repeating decimal: 10x - x = 6.66666... - 0.66666... 9x = 6</p>
<p> </p>
<p><strong>Step 4: </strong>Solve for x by dividing both sides by 9: x = 6/9</p>
<p> </p>
<p><strong>Step 5:</strong> Simplify the fraction by finding the GCD of 6 and 9, which is 3: 6/9 = 2/3</p>
<p> </p>
<p><strong>Thus, 0.66666 can be written as a fraction 2/3.</strong></p>
</div></div></div><div id="important-glossaries-for-066666-as-a-fraction" 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 0.66666 as a Fraction</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>Repeating Decimal: </strong>A decimal that has one or more repeating digits after the decimal point infinitely.</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>
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A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2; numbers in decimal are expressed with a decimal point (.), for example, 0.66666. We are going to learn how to convert a repeating decimal to a fraction.","category":"math","subcategory":"math-questions","page_type":"topic","sequence":380718,"url":"/math/math-questions/0.66666-as-a-fraction","meta_title":"What is 0.66666 as a Fraction [Solved]","meta_description":"0.66666 as a Fraction is 45718. Learn how to convert 0.66666 as a Fraction easily with step-by-step methods.","meta_image":"","writer":null,"sections":[{"body":"\u003cp\u003e\u003cimg alt=\"0.66666 as a fraction\" src=\"https://ik.imagekit.io/brightchamps/math/math-questions/0.66666-as-a-fraction.png\" style=\"height:100%; margin-bottom:10px; margin-top:10px; width:100%\" /\u003e\u003c/p\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\u003eThe answer for 0.66666 as a \u003ca href=\"/en-us/math/numbers/fractions\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003efraction\u003c/a\u003e will be 2/3.\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\u003eConverting a repeating \u003ca href=\"/en-us/math/numbers/decimals\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003edecimal\u003c/a\u003e to a fraction can be done through a few steps. You can follow the steps mentioned below to find the answer.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 1: \u003c/strong\u003eLet x = 0.66666... (where the 6 repeats infinitely).\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 2: \u003c/strong\u003eMultiply both sides by 10 to shift the decimal point one place to the right: 10x = 6.66666...\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 3:\u003c/strong\u003e Now, subtract the original x from this \u003ca href=\"/en-us/math/algebra/equation\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003eequation\u003c/a\u003e to eliminate the repeating decimal: 10x - x = 6.66666... - 0.66666... 9x = 6\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 4: \u003c/strong\u003eSolve for x by dividing both sides by 9: x = 6/9\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 5:\u003c/strong\u003e Simplify the fraction by finding the GCD of 6 and 9, which is 3: 6/9 = 2/3\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eThus, 0.66666 can be written as a fraction 2/3.\u003c/strong\u003e\u003c/p\u003e\r\n","headingText":"What is 0.66666 as a Fraction?","headingType":"H2","sectionType":"plainText"},{"body":"\u003cul\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eFraction: \u003c/strong\u003eA 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\u003eRepeating Decimal: \u003c/strong\u003eA decimal that has one or more repeating digits after the decimal point infinitely.\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\u003eThe 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\u003eThe bottom part of a fraction, showing how many parts make up a whole.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n","headingText":"Important Glossaries for 0.66666 as a Fraction","headingType":"H2","sectionType":"plainText"},{"links":[{"category":"Previous to 0.66666 as a Fraction","catelinks":[{"id":7576,"url":"/math/math-questions/0.84-as-a-fraction","name":"0.84 as a Fraction"},{"id":7577,"url":"/math/math-questions/50.8-as-a-fraction","name":"50.8 as a Fraction"},{"id":7578,"url":"/math/math-questions/110.25-as-a-fraction","name":"110.25 as a 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