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Last updated on March 11th, 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 5, which represents how many parts out of the whole, and the denominator (number below), here 20, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.
5/20 in decimals can be written as 0.25. It is a terminating decimal, which means it ends and does not repeat infinitely.
To get 5/20 in decimal, we will use the division method. Here, since 5 is smaller than 20, we will convert the fraction into a decimal using division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (20) will be taken as the divisor.
Step 2: As 5 is smaller than 20, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, which will make it 50, and add a decimal point in the quotient place.
Step 3: Now that it is 50, we can divide it by 20. Let's see how many times 20 makes 50.
Step 4: 50 is not a multiple of 20, so we will look for the nearest number that is 20 × 2 = 40. We will write 2 in the quotient place and subtract 40 from 50, which gives 10.
Step 5: Bring down another 0 in the dividend place and make 10 as 100, then repeat the division process.
Step 6: 20 goes into 100 five times exactly, so we write 5 in the quotient place. The division process ends, and we get the remainder as 0. This process is called terminating decimal.
The answer for 5/20 as a decimal will be 0.25.