100 LearnersLast updated on May 26th, 2025
31/32 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 31, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 32. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 31/32 as a decimal?
Answer 31/32 in decimals can be written as 0.96875. It is a terminating decimal, meaning it does not repeat infinitely. Explanation To convert 31/32 to a decimal, we will use the division method. Here, 31 is smaller than 32, so we will use the decimal method to perform the division. Let's break down the process step by step: Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend, and the denominator (32) will be taken as the divisor. Step 2: As 31 is smaller than 32, it can't be divided as is, so we will use decimals. We add 0 to the dividend, making it 310, and add a decimal point in the quotient place. Step 3: Divide 310 by 32. The nearest whole number is 9, since 32 × 9 = 288. Write 9 in the quotient place and subtract 288 from 310 to get 22. Step 4: Bring down another 0, making it 220. Divide 220 by 32. The nearest whole number is 6, since 32 × 6 = 192. Write 6 in the quotient place and subtract 192 from 220 to get 28. Step 5: Bring down another 0, making it 280. Divide 280 by 32. The nearest whole number is 8, since 32 × 8 = 256. Write 8 in the quotient place and subtract 256 from 280 to get 24. Step 6: Bring down another 0, making it 240. Divide 240 by 32. The nearest whole number is 7, since 32 × 7 = 224. Write 7 in the quotient place and subtract 224 from 240 to get 16. Step 7: Bring down another 0, making it 160. Divide 160 by 32. The nearest whole number is 5, since 32 × 5 = 160. Write 5 in the quotient place. The division process ends here with no remainder, resulting in a terminating decimal. The answer for 31/32 as a decimal is 0.96875.
Important Glossaries for 31/32 as a decimal
Fraction: A numerical quantity that is not a whole number, representing a part of a whole. Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part. Numerator: The top part of a fraction, indicating how many parts of the whole are being considered. Denominator: The bottom part of a fraction, showing how many parts make up a whole. Terminating Decimal: A decimal that ends and does not repeat infinitely.
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