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Original 2026-01-01
Modified 2026-02-28
1 - <p>257 Learners</p>
1 + <p>285 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>It is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of a whole, consisting of two parts: the numerator (the number on top) and the denominator (the number below). Here, -1 represents how many parts are considered out of the whole, and 3 shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a (.) or 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>
3 <p>It is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of a whole, consisting of two parts: the numerator (the number on top) and the denominator (the number below). Here, -1 represents how many parts are considered out of the whole, and 3 shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a (.) or 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>
4 <h2>What is -1/3 as a decimal?</h2>
4 <h2>What is -1/3 as a decimal?</h2>
5 <h3><strong>Answer</strong></h3>
5 <h3><strong>Answer</strong></h3>
6 <p>-1/3 in<a>decimals</a>can be written as -0.33333….. It is a<a>recurring decimal</a>, meaning it will repeat the same digit infinitely.</p>
6 <p>-1/3 in<a>decimals</a>can be written as -0.33333….. It is a<a>recurring decimal</a>, meaning it will repeat the same digit infinitely.</p>
7 <h3><strong>Explanation</strong></h3>
7 <h3><strong>Explanation</strong></h3>
8 <p>To convert -1/3 to a decimal, we will use the<a>division</a>method. Since 1 is smaller than 3, we will use decimals to help us, resulting in -0.3333. Let's see the step-by-step breakdown of the process:</p>
8 <p>To convert -1/3 to a decimal, we will use the<a>division</a>method. Since 1 is smaller than 3, we will use decimals to help us, resulting in -0.3333. Let's see the step-by-step breakdown of the process:</p>
9 <p><strong>Step 1:</strong>Identify the<a>numerator and denominator</a>because the numerator (-1) will be taken as the<a>dividend</a>and the denominator (3) as the<a>divisor</a>.</p>
9 <p><strong>Step 1:</strong>Identify the<a>numerator and denominator</a>because the numerator (-1) will be taken as the<a>dividend</a>and the denominator (3) as the<a>divisor</a>.</p>
10 <p><strong>Step 2:</strong>Since 1 is smaller than 3, it can't be divided. Here, we will use decimals. We will add 0 to the dividend, making 1 into 10 and adding a decimal point in the<a>quotient</a>place.</p>
10 <p><strong>Step 2:</strong>Since 1 is smaller than 3, it can't be divided. Here, we will use decimals. We will add 0 to the dividend, making 1 into 10 and adding a decimal point in the<a>quotient</a>place.</p>
11 <p><strong>Step 3:</strong>Now that it is 10, we can divide it by 3. Let's see how many times 3 fits into 10.</p>
11 <p><strong>Step 3:</strong>Now that it is 10, we can divide it by 3. Let's see how many times 3 fits into 10.</p>
12 <p><strong>Step 4:</strong>10 is not a multiple of 3, so we will look for the nearest number, which is 3 × 3 = 9. We will write 3 in the quotient place and subtract 9 from 10, giving 1.</p>
12 <p><strong>Step 4:</strong>10 is not a multiple of 3, so we will look for the nearest number, which is 3 × 3 = 9. We will write 3 in the quotient place and subtract 9 from 10, giving 1.</p>
13 <p><strong>Step 5:</strong>Bring down another 0 in the dividend place, make 1 into 10, 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>
13 <p><strong>Step 5:</strong>Bring down another 0 in the dividend place, make 1 into 10, 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>
14 <p><strong>The answer for -1/3 as a decimal will be -0.3333……</strong></p>
14 <p><strong>The answer for -1/3 as a decimal will be -0.3333……</strong></p>
15 <h2>Important Glossaries for -1/3 as a decimal</h2>
15 <h2>Important Glossaries for -1/3 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 </ul><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>
17 </ul><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>
18 </ul><ul><li><strong>Numerator:</strong>The top part of a fraction, indicating how many parts of the whole are being considered; negative if the fraction represents a negative value.</li>
18 </ul><ul><li><strong>Numerator:</strong>The top part of a fraction, indicating how many parts of the whole are being considered; negative if the fraction represents a negative value.</li>
19 </ul><ul><li><strong>Denominator:</strong>The bottom part of a fraction, showing how many parts make up a whole.</li>
19 </ul><ul><li><strong>Denominator:</strong>The bottom part of a fraction, showing how many parts make up a whole.</li>
20 </ul><ul><li><strong>Recurring Decimal:</strong>A decimal in which a sequence of digits repeats infinitely.</li>
20 </ul><ul><li><strong>Recurring Decimal:</strong>A decimal in which a sequence of digits repeats infinitely.</li>
21 </ul>
21 </ul>