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Last updated on March 20th, 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, 57 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 220. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
57/220 in decimals can be written as 0.25909. It is a non-terminating, non-repeating decimal.
To get 57/220 in decimal, we will use the division method.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (57) will be taken as the dividend and the denominator (220) will be taken as the divisor.
Step 2: As 57 is smaller than 220, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 57 as 570 and add a decimal point in the quotient place.
Step 3: Now that it is 570, we can divide it by 220. Let's see how many times 220 fits into 570.
Step 4: 220 fits into 570 two times, since 220 × 2 = 440. We will write 2 in the quotient place and subtract 440 from 570 to get 130.
Step 5: Bring down another 0 in the dividend place to make it 1300 and continue the division process. The division process continues, and we do not get a remainder of 0. This process results in a non-terminating, non-repeating decimal.
The answer for 57/220 as a decimal will be 0.25909.