Table Of Contents
Last updated on March 4th, 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: the numerator (number on top), here 13, 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 a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, while those to the right represent the fractional part.
13/8 in decimals can be written as 1.625. It is a terminating decimal.
To get 13/8 in decimal, we will use the division method. Here, since 13 is larger than 8, we can divide directly without needing to use decimals initially. Let's go through the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 13 by 8. Determine how many times 8 goes into 13.
Step 3: 8 goes into 13 once (8 × 1 = 8), so write 1 in the quotient place. Subtract 8 from 13 to get 5.
Step 4: Bring down a zero to make 5 as 50, then divide by 8.
Step 5: 8 goes into 50 six times (8 × 6 = 48). Write 6 in the quotient place, subtract 48 from 50 to get 2.
Step 6: Bring down another zero to make 2 as 20, then divide by 8.
Step 7: 8 goes into 20 two times (8 × 2 = 16). Write 2 in the quotient place, subtract 16 from 20 to get 4.
Step 8: Bring down another zero to make 4 as 40, then divide by 8.
Step 9: 8 goes into 40 five times (8 × 5 = 40). Write 5 in the quotient place, subtract 40 from 40 to get 0. The division process ends here as the remainder is 0. The answer for 13/8 as a decimal is 1.625.