Table Of Contents
Last updated on March 17th, 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, 57 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 20. 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.
57/20 in decimals can be written as 2.85. It is a terminating decimal, meaning it ends without repeating.
To get 57/20 in decimal, we will use the division method. Here, 57 is greater than 20, so we can directly divide it. 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 (20) will be taken as the divisor.
Step 2: Divide 57 by 20. We need to see how many times 20 fits into 57.
Step 3: 20 fits into 57 two times (2 × 20 = 40), so we write 2 in the quotient place and subtract 40 from 57, which gives us 17.
Step 4: Bring down a zero to make it 170 and continue the division.
Step 5: 20 fits into 170 eight times (8 × 20 = 160), so we write 8 in the quotient place after the decimal point and subtract 160 from 170, which gives 10.
Step 6: Bring down another zero to make it 100 and continue the division.
Step 7: 20 fits into 100 five times (5 × 20 = 100), so we write 5 in the quotient place and subtract 100 from 100, which gives 0.
The division process ends here, and the answer for 57/20 as a decimal will be 2.85.