Table Of Contents
Last updated on March 17th, 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, 65 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.
65/8 in decimals can be written as 8.125. It is a terminating decimal, meaning it does not repeat infinitely.
To get 65/8 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (65) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 65 by 8.
Step 3: 8 goes into 65 eight times, as 8 × 8 = 64.
Step 4: Write 8 in the quotient place and subtract 64 from 65, which gives 1.
Step 5: Bring down a 0 to make it 10 and divide by 8. 8 goes into 10 once, leaving a remainder of 2.
Step 6: Bring down another 0 to make it 20, and divide by 8. 8 goes into 20 twice, leaving a remainder of 4.
Step 7: Bring down another 0 to make it 40, and divide by 8. 8 goes into 40 five times, with no remainder.
The answer for 65/8 as a decimal is 8.125.