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.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.