1 added
1 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>225 Learners</p>
1
+
<p>240 Learners</p>
2
<p>Last updated on<strong>August 5, 2025</strong></p>
2
<p>Last updated on<strong>August 5, 2025</strong></p>
3
<p>Numbers can be categorized into different types. 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, 8.3333333. We are going to learn how to convert a repeating decimal to a fraction.</p>
3
<p>Numbers can be categorized into different types. 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, 8.3333333. We are going to learn how to convert a repeating decimal to a fraction.</p>
4
<h2>What is 8.3333333 as a Fraction?</h2>
4
<h2>What is 8.3333333 as a Fraction?</h2>
5
<h3><strong>Answer</strong></h3>
5
<h3><strong>Answer</strong></h3>
6
<p>The answer for 8.3333333 as a<a>fraction</a>is 25/3.</p>
6
<p>The answer for 8.3333333 as a<a>fraction</a>is 25/3.</p>
7
<h3><strong>Explanation</strong></h3>
7
<h3><strong>Explanation</strong></h3>
8
<p>Converting a repeating<a>decimal</a>to a fraction involves a few steps. Follow the steps below to find the answer.</p>
8
<p>Converting a repeating<a>decimal</a>to a fraction involves a few steps. Follow the steps below to find the answer.</p>
9
<p><strong>Step 1:</strong>Let x = 8.3333333...</p>
9
<p><strong>Step 1:</strong>Let x = 8.3333333...</p>
10
<p><strong>Step 2:</strong>Since one digit is recurring, multiply both sides by 10 to shift the decimal point one place to the right: 10x = 83.3333333...</p>
10
<p><strong>Step 2:</strong>Since one digit is recurring, multiply both sides by 10 to shift the decimal point one place to the right: 10x = 83.3333333...</p>
11
<p><strong>Step 3:</strong>Subtract the original<a>equation</a>from this new equation to eliminate the repeating part: 10x - x = 83.3333333... - 8.3333333... 9x = 75</p>
11
<p><strong>Step 3:</strong>Subtract the original<a>equation</a>from this new equation to eliminate the repeating part: 10x - x = 83.3333333... - 8.3333333... 9x = 75</p>
12
<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9: x = 75/9</p>
12
<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9: x = 75/9</p>
13
<p><strong>Step 5:</strong>Simplify the fraction by finding the GCD of 75 and 9, which is 3, and divide both the<a>numerator</a>and the<a>denominator</a>by 3: 75/9 = 25/3</p>
13
<p><strong>Step 5:</strong>Simplify the fraction by finding the GCD of 75 and 9, which is 3, and divide both the<a>numerator</a>and the<a>denominator</a>by 3: 75/9 = 25/3</p>
14
<p><strong>Thus, 8.3333333 can be written as a fraction 25/3.</strong></p>
14
<p><strong>Thus, 8.3333333 can be written as a fraction 25/3.</strong></p>
15
<h2>Important Glossaries for 8.3333333 as a Fraction</h2>
15
<h2>Important Glossaries for 8.3333333 as a Fraction</h2>
16
<ul><li><strong>Fraction:</strong>A numerical quantity that is not a whole number, representing a part of a whole. </li>
16
<ul><li><strong>Fraction:</strong>A numerical quantity that is not a whole number, representing a part of a whole. </li>
17
<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>
17
<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>
18
<li><strong>Repeating Decimal:</strong>A decimal with digits that repeat infinitely. </li>
18
<li><strong>Repeating Decimal:</strong>A decimal with digits that repeat infinitely. </li>
19
<li><strong>Numerator:</strong>The top part of a fraction, indicating how many parts of the whole are being considered. </li>
19
<li><strong>Numerator:</strong>The top part of a fraction, indicating how many parts of the whole are being considered. </li>
20
<li><strong>Denominator:</strong>The bottom part of a fraction, showing how many parts make up a whole.</li>
20
<li><strong>Denominator:</strong>The bottom part of a fraction, showing how many parts make up a whole.</li>
21
</ul>
21
</ul>