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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, 21 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 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 those to the right represent the fractional part.
21/60 in decimals can be written as 0.35. It is a terminating decimal, showing it does not repeat indefinitely.
To get 21/60 in decimal, we will use the division method. The fraction 21/60 can be simplified to 7/20. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (21) will be taken as the dividend, and the denominator (60) will be taken as the divisor.
Step 2: Simplify the fraction 21/60 to 7/20 by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
Step 3: Divide 7 by 20. As 7 is smaller than 20, it can't be divided as a whole number, so we will use decimals. Add a decimal point in the quotient place and make 7 as 70 by adding 0 in the dividend place.
Step 4: Now, divide 70 by 20. 20 goes into 70 three times, as 20 × 3 = 60. Write 3 in the quotient place.
Step 5: Subtract 60 from 70 to get 10. Bring down another 0 to make it 100.
Step 6: Divide 100 by 20, which goes 5 times, as 20 × 5 = 100. Write 5 in the quotient place.
Step 7: Subtract 100 from 100, leaving a remainder of 0. The division ends here.
The answer for 21/60 as a decimal will be 0.35.