Last updated on May 26th, 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, 6 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 (.) 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.
6/32 in decimals can be written as 0.1875. It is a terminating decimal, showing that it ends and does not repeat infinitely.
To get 6/32 in decimal, we will use the division method. Here, as 6 is smaller than 32, we will take the help of the decimal method, which will give us 0.1875. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (32) will be taken as the divisor.
Step 2: As 6 is smaller than 32, it can't be divided directly; here, we will take the help of decimals. We will add 0 to the dividend, making 6 as 60, and add a decimal point in the quotient place.
Step 3: Now that it is 60, we can divide it by 32. Let's see how many times 32 makes 60.
Step 4: 60 is not a multiple of 32, so we will look for the nearest number. 32 goes into 60 once, so we write 1 in the quotient place and subtract 32 from 60, which gives 28.
Step 5: Bring down another 0 to make 280. Dividing 280 by 32 gives 8, as 32 times 8 is 256. Subtracting 256 from 280 gives 24.
Step 6: Bring down another 0 to make 240. Dividing 240 by 32 gives 7, as 32 times 7 is 224. Subtracting 224 from 240 gives 16.
Step 7: Bring down another 0 to make 160. Dividing 160 by 32 gives 5, as 32 times 5 is 160, leaving no remainder.
The answer for 6/32 as a decimal will be 0.1875.