Table Of Contents
Last updated on March 5th, 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, 13, 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 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.
13/60 in decimals can be written as 0.2166... It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 13/60 in decimal, we will use the division method. Here as 13 is smaller than 60, we will take help of the decimal method which will give us 0.2166... Let's see the step-by-step breakdown of the process
Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (60) will be taken as the divisor.
Step 2: As 13 is smaller than 60, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 13 as 130 and add a decimal point in the quotient place.
Step 3: Now that it is 130, we divide it by 60. Let's see how many times 60 fits into 130.
Step 4: 60 fits into 130 twice (2 × 60 = 120), so we write 2 in the quotient place and subtract 120 from 130 to get 10.
Step 5: Bring down another 0 in the dividend place, making it 100, and then repeat the division process.
Step 6: 60 fits into 100 once (1 × 60 = 60), so we write 1 in the quotient and subtract 60 from 100 to get 40.
Step 7: Bring down another 0 to make it 400, and divide by 60 to get 6 (6 × 60 = 360), then subtract 360 to get 40 again. The division process continues with 40 repeating, so this process results in a recurring decimal.
The answer for 13/60 as a decimal will be 0.2166...