Table Of Contents
Last updated on March 3rd, 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 25 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
25/32 in decimals can be written as 0.78125. It is a terminating decimal, meaning it does not repeat infinitely.
To get 25/32 in decimal, we will use the division method. Here as 25 is smaller than 32, we will take help of decimal method which will give us 0.78125. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (25) will be taken as the dividend and the denominator (32) will be taken as the divisor.
Step 2: As 25 is smaller than 32, it can't be divided directly. We will use the decimals by adding 0 to the dividend, which will make it 250 and add a decimal point in the quotient place.
Step 3: Now that it is 250, we can divide it by 32. Let's determine how many times 32 fits into 250.
Step 4: 32 goes into 250 a total of 7 times (32×7=224). We will write 7 in the quotient place and subtract 224 from 250, giving us 26.
Step 5: Bring down another 0 in the dividend place to make it 260, and repeat the division process.
Step 6: 32 goes into 260 a total of 8 times (32×8=256). Write 8 in the quotient place and subtract 256 from 260 to get 4.
Step 7: Bring down another 0 to make it 40, and repeat the division process.
Step 8: 32 goes into 40 once (32×1=32). Write 1 in the quotient place and subtract 32 from 40 to get 8.
Step 9: Bring down another 0 to make it 80, and repeat the division process.
Step 10: 32 goes into 80 two times (32×2=64). Write 2 in the quotient place and subtract 64 from 80 to get 16.
Step 11: Bring down another 0 to make it 160, and repeat the division process.
Step 12: 32 goes into 160 five times (32×5=160). Write 5 in the quotient place. Now the remainder is 0, and the division process ends.
The answer for 25/32 as a decimal will be 0.78125.