21/24 as a Decimal

Professor Greenline Explaining Math Concepts

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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 (the number on the top), which represents how many parts out of the whole, and the denominator (the number below), which shows how many parts make the whole. For example, in the fraction 21/24, the numerator is 21 and the denominator is 24. A decimal is a way to represent a number that is not whole, using 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.

What is 21/24 as a decimal?

$21/24 as a decimal$ Answer

21/24 in decimals can be simplified first to 0.875.

Explanation

To convert 21/24 to a decimal, we can simplify the fraction first.

Step 1: Simplify the fraction if possible. The greatest common divisor (GCD) of 21 and 24 is 3, so divide both the numerator and the denominator by 3. 21 ÷ 3 = 7 24 ÷ 3 = 8 So, 21/24 simplifies to 7/8.

Step 2: Now convert 7/8 to a decimal using division. Divide 7 by 8.

Step 3: 7 is less than 8, so we use decimals. Add 0 to make it 70, and place a decimal point in the quotient.

Step 4: Divide 70 by 8. The nearest multiple is 8 × 8 = 64. Write 8 in the quotient and subtract 64 from 70 to get 6.

Step 5: Bring down another 0 to make 60 and divide again.

Step 6: Divide 60 by 8, the nearest multiple is 8 × 7 = 56. Write 7 in the quotient and subtract 56 from 60 to get 4.

Step 7: Bring down another 0 to make 40. Divide 40 by 8. Step 8: 8 × 5 = 40, so write 5 in the quotient. The remainder is 0, so the process terminates.

The answer for 21/24 as a decimal is 0.875.