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height="15.3" width="19.2" style="transform:translateX(-3px)" class="jsx-5cb6d03d64c10f3f learnerImage"/>282 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">8 7/9 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">Converting a mixed number to a decimal involves understanding both fractions and decimals. A mixed number consists of a whole number and a fraction. In this case, 8 is the whole number, and 7/9 is the fraction. A decimal uses a period (.) 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-8-79-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 8 7/9 as a decimal?</h2></div></div></div><div class="combinedCss-module__F6Nnda__plainTxt plainTxt" data-page-type="math"><p><img alt="8 7/9 as a decimal" src="https://ik.imagekit.io/brightchamps/tr:w-800,c-maintain_ratio,q-75,f-auto/math/math-questions/8-7-9-as-a-decimal.png" style="height:100%; margin-bottom:10px; margin-top:10px; width:100%" / loading="lazy"></p>
<h3><strong>Answer</strong></h3>
<p> </p>
<p>8 7/9 in <a href="/en-us/math/numbers/decimals" target="_blank" class="hyperLink" style="color:blue">decimal</a> form is approximately 8.77777… It is a <a href="/en-us/math/numbers/recurring-decimal" target="_blank" class="hyperLink" style="color:blue">recurring decimal</a>, indicating that the digit 7 repeats infinitely.</p>
<p> </p>
<h3><strong>Explanation</strong></h3>
<p> </p>
<p>To convert 8 7/9 to a decimal, we first convert the <a href="/en-us/math/numbers/fractions" target="_blank" class="hyperLink" style="color:blue">fraction</a> 7/9 to a decimal. We will use the <a href="/en-us/math/numbers/division" target="_blank" class="hyperLink" style="color:blue">division</a> method.</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>. Here, 7 is the numerator, and 9 is the denominator.</p>
<p> </p>
<p><strong>Step 2:</strong> Divide 7 by 9. Since 7 is smaller than 9, we use decimals. Add a decimal point and zero, making it 70.</p>
<p> </p>
<p><strong>Step 3:</strong> 9 goes into 70 a total of 7 times (since 9 × 7 = 63). Place 7 in the <a href="/en-us/math/numbers/quotient" target="_blank" class="hyperLink" style="color:blue">quotient</a> and subtract 63 from 70 to get 7.</p>
<p> </p>
<p><strong>Step 4:</strong> Bring down another 0, making it 70 again, and repeat the division process.</p>
<p> </p>
<p><strong>Step 5:</strong> This process will repeat indefinitely, resulting in a recurring decimal of 0.77777…</p>
<p> </p>
<p><strong>Finally, add this to the <a href="/en-us/math/numbers/whole-numbers" target="_blank" class="hyperLink" style="color:blue">whole number</a> part, 8, to get 8.77777…</strong></p>
</div></div></div><div id="important-glossaries-for-8-79-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 8 7/9 as a decimal</h2></div></div></div><div class="combinedCss-module__F6Nnda__plainTxt plainTxt" data-page-type="math"><ul>
<li><strong>Mixed Number:</strong> A number consisting of an integer and a fractional part.<br />
</li>
<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.<br />
</li>
<li><strong>Recurring Decimal: </strong>A decimal in which one or more digits repeat infinitely.<br />
</li>
<li><strong>Numerator:</strong> The top part of a fraction, indicating how many parts of the whole are being considered.<br />
</li>
<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 mixed number consists of a whole number and a fraction. In this case, 8 is the whole number, and 7/9 is the fraction. A decimal uses a period (.) 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":392161,"url":"/math/math-questions/8-7-9-as-a-decimal","meta_title":"What is 8 7/9 as a Decimal [Solved]","meta_description":"Learn how to convert 8 7/9 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=\"8 7/9 as a decimal\" src=\"https://ik.imagekit.io/brightchamps/math/math-questions/8-7-9-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\u003cstrong\u003eAnswer\u003c/strong\u003e\u003c/h3\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e8 7/9 in \u003ca href=\"/en-us/math/numbers/decimals\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003edecimal\u003c/a\u003e form is approximately 8.77777\u0026hellip; It is a \u003ca href=\"/en-us/math/numbers/recurring-decimal\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003erecurring decimal\u003c/a\u003e, indicating that the digit 7 repeats 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 convert 8 7/9 to a decimal, we first convert the \u003ca href=\"/en-us/math/numbers/fractions\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003efraction\u003c/a\u003e 7/9 to a decimal. We will use the \u003ca href=\"/en-us/math/numbers/division\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003edivision\u003c/a\u003e method.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 1: \u003c/strong\u003eIdentify the \u003ca href=\"/en-us/math/numbers/numerator-and-denominator\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003enumerator and denominator\u003c/a\u003e. Here, 7 is the numerator, and 9 is the denominator.\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eStep 2:\u003c/strong\u003e Divide 7 by 9. Since 7 is smaller than 9, we use decimals. Add a decimal point and zero, making it 70.\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 9 goes into 70 a total of 7 times (since 9 \u0026times; 7 = 63). Place 7 in the \u003ca href=\"/en-us/math/numbers/quotient\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003equotient\u003c/a\u003e and subtract 63 from 70 to get 7.\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 Bring down another 0, making it 70 again, and repeat the division process.\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 This process will repeat indefinitely, resulting in a recurring decimal of 0.77777\u0026hellip;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\r\n\r\n\u003cp\u003e\u003cstrong\u003eFinally, add this to the \u003ca href=\"/en-us/math/numbers/whole-numbers\" target=\"_blank\" class=\"hyperLink\" style=\"color:blue\"\u003ewhole number\u003c/a\u003e part, 8, to get 8.77777\u0026hellip;\u003c/strong\u003e\u003c/p\u003e\r\n","headingText":"What is 8 7/9 as a decimal?","headingType":"H2","sectionType":"plainText"},{"body":"\u003cul\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eMixed Number:\u003c/strong\u003e A number consisting of an integer and a fractional part.\u003cbr /\u003e\r\n\t\u0026nbsp;\u003c/li\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eDecimal:\u003c/strong\u003e A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.\u003cbr /\u003e\r\n\t\u0026nbsp;\u003c/li\u003e\r\n\t\u003cli\u003e\u003cstrong\u003eRecurring Decimal: \u003c/strong\u003eA decimal in which one or more digits repeat infinitely.\u003cbr /\u003e\r\n\t\u0026nbsp;\u003c/li\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.\u003cbr /\u003e\r\n\t\u0026nbsp;\u003c/li\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 8 7/9 as a decimal","headingType":"H2","sectionType":"plainText"},{"links":[{"category":"Previous to 8 7/9 as a Decimal","catelinks":[{"id":11018,"url":"/math/math-questions/45-1-9-as-a-decimal","name":"45 1/9 as a Decimal"},{"id":11019,"url":"/math/math-questions/1-1-20-as-a-decimal","name":"1 1/20 as a Decimal"},{"id":11020,"url":"/math/math-questions/16-18-as-a-decimal","name":"16/18 as a Decimal"},{"id":11021,"url":"/math/math-questions/22-30-as-a-decimal","name":"22/30 as a Decimal"},{"id":11022,"url":"/math/math-questions/3-4-25-as-a-decimal","name":"3 4/25 as a Decimal"},{"id":11023,"url":"/math/math-questions/24-22-as-a-decimal","name":"24/22 as a Decimal"},{"id":11024,"url":"/math/math-questions/6-1-9-as-a-decimal","name":"6 1/9 as a Decimal"},{"id":11025,"url":"/math/math-questions/37-9-as-a-decimal","name":"37/9 as a 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