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Last updated on March 15th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) here, 2 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.
2/32 in decimals can be written as 0.0625. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 2/32 to a decimal, we will use the division method. Here, as 2 is smaller than 32, we will perform the division directly. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (32) will be taken as the divisor.
Step 2: As 2 is smaller than 32, we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.
Step 3: Now that it is 20, we can divide it by 32, but since 20 is still smaller, we bring down another 0 making it 200.
Step 4: 200 divided by 32 gives 6 as 32 × 6 = 192. We will write 6 in the quotient place and subtract 192 from 200, giving 8.
Step 5: Bring down another 0 in the dividend place, making it 80. Divide 80 by 32 to get 2 since 32 × 2 = 64. Subtract 64 from 80, leaving 16.
Step 6: Bring down another 0, making it 160. Divide 160 by 32 to get 5 since 32 × 5 = 160. Subtract 160 from 160, leaving 0, indicating the division is complete.
The answer for 2/32 as a decimal will be 0.0625.