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Last updated on March 13th, 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, 4 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 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.
4/32 in decimals can be written as 0.125. It is a terminating decimal, meaning the decimal representation ends.
To get 4/32 in decimal, we will use the division method. Here, 4 is smaller than 32, so we will take help of the decimal method, which will give us 0.125. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (32) will be taken as the divisor.
Step 2: As 4 is smaller than 32, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.
Step 3: Now that it is 40, we can divide it by 32. Let's see how many times 32 fits into 40.
Step 4: 32 goes into 40 once, so we write 1 in the quotient place and subtract 32 from 40, which gives us 8.
Step 5: Bring down another 0 in the dividend place, making it 80, and then divide by 32 again.
Step 6: 32 goes into 80 twice, so write 2 in the quotient, subtract 64 from 80, which gives 16.
Step 7: Bring down another 0, making it 160, and divide by 32.
Step 8: 32 goes into 160 five times exactly, so write 5 in the quotient. This leaves no remainder.
The division process ends, and the answer for 4/32 as a decimal will be 0.125.