Table Of Contents
Last updated on March 5th, 2025
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, numerator (number on the top) here, 31, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent the 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 those to the right represent the fractional part.
31/8 in decimals can be written as 3.875. It is a terminating decimal.
To convert 31/8 into a decimal, we will use the division method. Here, 31 is larger than 8, so we can divide directly without needing to adjust with a decimal initially.
Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 31 by 8.
Step 3: 8 goes into 31 three times because 8 × 3 = 24. Write 3 in the quotient place.
Step 4: Subtract 24 from 31, which gives 7.
Step 5: Bring down a 0 to make it 70. Now divide 70 by 8.
Step 6: 8 goes into 70 eight times because 8 × 8 = 64. Write 8 in the quotient place after the decimal.
Step 7: Subtract 64 from 70, which gives 6.
Step 8: Bring down another 0 to make it 60. Now divide 60 by 8.
Step 9: 8 goes into 60 seven times because 8 × 7 = 56. Write 7 in the quotient place.
Step 10: Subtract 56 from 60, which gives 4.
Step 11: Bring down another 0 to make it 40. Now divide 40 by 8.
Step 12: 8 goes into 40 five times because 8 × 5 = 40. Write 5 in the quotient place.
The answer for 31/8 as a decimal will be 3.875.