21 7/8 as a Decimal

Answer

21 7/8 in decimals can be written as 21.875. This is a terminating decimal.

Explanation

To convert 21 7/8 to a decimal, we will first convert the fraction 7/8 to a decimal using division.

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 7 by 8. Since 7 is less than 8, we use decimal division by adding a decimal point and zero to make it 70.

Step 3: Now divide 70 by 8. The closest multiple is 8 × 8 = 64.

Step 4: Write 8 in the quotient place. Subtract 64 from 70, which gives 6.

Step 5: Bring down another 0, making it 60, and divide by 8. The closest multiple is 8 × 7 = 56.

Step 6: Write 7 in the quotient place. Subtract 56 from 60, which gives 4.

Step 7: Bring down another 0, making it 40, and divide by 8. The exact division occurs here as 8 × 5 = 40.

Step 8: Write 5 in the quotient place, and there is no remainder. The decimal for 7/8 is 0.875. Adding the whole part, we have 21 + 0.875 = 21.875.

• 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.