21 5/8 as a Decimal

Answer

21 5/8 in decimals can be written as 21.625. It is a terminating decimal.

Explanation

To convert 21 5/8 into a decimal, we'll first convert the fraction 5/8 into a decimal and then add it to the whole number 21. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 5 by 8. Since 5 is smaller than 8, it can't be divided directly. Add a decimal point and a zero to 5, making it 50.

Step 3: Divide 50 by 8, which gives 6 as the quotient since 8 × 6 = 48.

Step 4: Subtract 48 from 50, which leaves 2. Bring down another 0, making it 20.

Step 5: Divide 20 by 8, which gives 2 as the quotient since 8 × 2 = 16.

Step 6: Subtract 16 from 20, which leaves 4. Bring down another 0, making it 40.

Step 7: Divide 40 by 8, which gives 5 as the quotient since 8 × 5 = 40.

Step 8: As there is no remainder, the division process ends, and we get 0.625 as the decimal.

Step 9: Add this to the whole number 21 to get 21.625.

The answer for 21 5/8 as a decimal will be 21.625.

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

• Decimal: A number using the base ten, including 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.