Table Of Contents
Last updated on March 18th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top), here, 61 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
61/8 in decimals can be written as 7.625. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 61/8 in decimal, we will use the division method. Here, 61 is larger than 8, so we can perform the division directly. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (61) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 61 by 8. Determine how many times 8 goes into 61.
Step 3: 8 goes into 61 seven times (8 × 7 = 56).
Step 4: Subtract 56 from 61, which gives 5 as the remainder.
Step 5: Bring down a 0 to make it 50. Divide 50 by 8 to get 6 (8 × 6 = 48).
Step 6: Subtract 48 from 50, which gives 2. Bring down another 0 to make it 20. Divide 20 by 8 to get 2 (8 × 2 = 16).
Step 7: Subtract 16 from 20, which gives 4. Bring down another 0 to make it 40. Divide 40 by 8 to get 5 (8 × 5 = 40).
Step 8: Subtract 40 from 40, which gives 0, indicating the end of the division.
The answer for 61/8 as a decimal will be 7.625.