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 the top), here 5, 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 decimal point (.) 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.
5/32 in decimals can be written as 0.15625. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 5/32 in decimal, we will use the division method. Since 5 is smaller than 32, we will apply the decimal method to get 0.15625. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (32) will be taken as the divisor.
Step 2: As 5 is smaller than 32, it can't be divided directly. We will add 0 to the dividend, which will make 5 as 50, and add a decimal point in the quotient place.
Step 3: Now that it is 50, we can divide it by 32. Let's see how many times 32 fits into 50.
Step 4: 32 fits into 50 once, so we write 1 in the quotient place, subtract 32 from 50 to get 18.
Step 5: Bring down another 0 in the dividend place, making it 180, and then repeat the division process.
Step 6: 32 fits into 180 five times, so write 5 next in the quotient, subtract 160 to get 20. Continue this process until the remainder is 0.
The answer for 5/32 as a decimal is 0.15625.