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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, 53 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 60. A decimal is a way to represent a 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.
53/60 in decimals can be written as approximately 0.8833. It is a terminating decimal.
To convert 53/60 into a decimal, we will use division. Here, 53 is smaller than 60, so we will take help of decimal method which will give us 0.8833. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (53) will be taken as the dividend and the denominator (60) will be taken as the divisor.
Step 2: As 53 is smaller than 60, it can't be divided directly. Here we will take the help of decimals. We will add 0 to the dividend, which will make 53 as 530 and add a decimal point in the quotient place.
Step 3: Now that it is 530, we can divide it by 60. Let's see how many times 60 goes into 530.
Step 4: 60 × 8 = 480, which is the closest multiple of 60 below 530. We will write 8 in the quotient place and subtract 480 from 530, which gives 50.
Step 5: Bring down another 0 in the dividend place to make 500 and then divide by 60 again. Repeat the division process. The division process continues, and we eventually get the remainder as 0, making it a terminating decimal.
The answer for 53/60 as a decimal will be approximately 0.8833.