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Original 2026-01-01
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1 - <p>406 Learners</p>
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2 <p>Last updated on<strong>August 5, 2025</strong></p>
2 <p>Last updated on<strong>August 5, 2025</strong></p>
3 <p>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 2, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 3. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.</p>
3 <p>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 2, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 3. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.</p>
4 <h2>What is 4 2/3 as a decimal?</h2>
4 <h2>What is 4 2/3 as a decimal?</h2>
5 <h3><strong>Answer</strong></h3>
5 <h3><strong>Answer</strong></h3>
6 <p>4 2/3 in<a>decimals</a>can be written as 4.66666…. It is a<a>recurring decimal</a>, showing it will repeat the same digit infinitely.</p>
6 <p>4 2/3 in<a>decimals</a>can be written as 4.66666…. It is a<a>recurring decimal</a>, showing it will repeat the same digit infinitely.</p>
7 <h3><strong>Explanation</strong></h3>
7 <h3><strong>Explanation</strong></h3>
8 <p>To convert 4 2/3 to a decimal, we first convert the fractional part using the<a>division</a>method. Let's break down the process:</p>
8 <p>To convert 4 2/3 to a decimal, we first convert the fractional part using the<a>division</a>method. Let's break down the process:</p>
9 <p><strong>Step 1:</strong>Identify the<a>whole number</a>and the fractional part. Here, 4 is the whole number, and 2/3 is the fractional part.</p>
9 <p><strong>Step 1:</strong>Identify the<a>whole number</a>and the fractional part. Here, 4 is the whole number, and 2/3 is the fractional part.</p>
10 <p><strong>Step 2:</strong>Convert the<a>fraction</a>2/3 into a decimal. The<a>numerator</a>(2) will be the<a>dividend</a>, and the denominator (3) will be the divisor.</p>
10 <p><strong>Step 2:</strong>Convert the<a>fraction</a>2/3 into a decimal. The<a>numerator</a>(2) will be the<a>dividend</a>, and the denominator (3) will be the divisor.</p>
11 <p><strong>Step 3:</strong>As 2 is smaller than 3, it can't be divided, so we'll use decimals. We add 0 to the dividend, making it 20, and place a decimal point in the quotient.</p>
11 <p><strong>Step 3:</strong>As 2 is smaller than 3, it can't be divided, so we'll use decimals. We add 0 to the dividend, making it 20, and place a decimal point in the quotient.</p>
12 <p><strong>Step 4:</strong>Divide 20 by 3. 3 goes into 20 six times (3 × 6 = 18). Subtract 18 from 20 to get 2.</p>
12 <p><strong>Step 4:</strong>Divide 20 by 3. 3 goes into 20 six times (3 × 6 = 18). Subtract 18 from 20 to get 2.</p>
13 <p><strong>Step 5:</strong>Bring down another 0, making it 20, and repeat the division process. The division process continues, and we do not get the remainder as 0. This process is called a recurring decimal.</p>
13 <p><strong>Step 5:</strong>Bring down another 0, making it 20, and repeat the division process. The division process continues, and we do not get the remainder as 0. This process is called a recurring decimal.</p>
14 <p><strong>Finally, add the decimal part 0.6666… to the whole number 4, resulting in 4.6666…</strong></p>
14 <p><strong>Finally, add the decimal part 0.6666… to the whole number 4, resulting in 4.6666…</strong></p>
15 <h2>Important Glossaries for 4 2/3 as a decimal</h2>
15 <h2>Important Glossaries for 4 2/3 as a decimal</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>Mixed Number:</strong>A number consisting of an integer and a proper fraction. </li>
18 <li><strong>Mixed Number:</strong>A number consisting of an integer and a proper fraction. </li>
19 <li><strong>Recurring Decimal:</strong>A decimal in which one or more digits repeat infinitely. </li>
19 <li><strong>Recurring Decimal:</strong>A decimal in which one or more digits repeat infinitely. </li>
20 <li><strong>Dividend:</strong>The number that is being divided in a division operation.</li>
20 <li><strong>Dividend:</strong>The number that is being divided in a division operation.</li>
21 </ul>
21 </ul>