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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: the numerator (number on the top) here, 20 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 that to the right represents the fractional part.
20/32 in decimals can be written as 0.625. It is a terminating decimal, meaning it does not repeat infinitely.
To get 20/32 in decimal, we will use the division method. Here, as 20 is smaller than 32, we will take the help of the decimal method, which will give us 0.625. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (20) will be taken as the dividend and the denominator (32) will be taken as the divisor.
Step 2: As 20 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 20 as 200 and add a decimal point in the quotient place.
Step 3: Now that it is 200, we can divide it by 32. Let's see how many times 32 fits into 200.
Step 4: 32 goes into 200 six times (32 × 6 = 192). We will write 6 in the quotient place and subtract 192 from 200 to get 8.
Step 5: Bring down another 0 in the dividend place and make 8 as 80 and then repeat the division process.
Step 6: 32 goes into 80 two times (32 × 2 = 64). We write 2 in the quotient place and subtract 64 from 80 to get 16.
Step 7: Bring down another 0 in the dividend place and make 16 as 160. 32 goes into 160 five times (32 × 5 = 160), with no remainder.
The answer for 20/32 as a decimal is 0.625.