21/8 as a Decimal

Answer

21/8 in decimals can be written as 2.625. It is a terminating decimal, meaning it ends after a few decimal places.

Explanation

To convert 21/8 into a decimal, we will use the division method. Since 21 is larger than 8, we can divide directly.

Step 1: Identify the numerator and denominator because the numerator (21) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 21 by 8. Since 8 goes into 21 two times (because 8 × 2 = 16), write 2 in the quotient place.

Step 3: Subtract 16 from 21, which gives 5. Step 4: Bring down a zero to make it 50.

Step 5: Divide 50 by 8. Since 8 goes into 50 six times (because 8 × 6 = 48), write 6 in the quotient place.

Step 6: Subtract 48 from 50, which gives 2.

Step 7: Bring down another zero to make it 20.

Step 8: Divide 20 by 8. Since 8 goes into 20 two times (because 8 × 2 = 16), write 2 in the quotient place.

Step 9: Subtract 16 from 20, which gives 4.

Step 10: Bring down another zero to make it 40.

Step 11: Divide 40 by 8. Since 8 goes into 40 five times (because 8 × 5 = 40), write 5 in the quotient place.

Step 12: Subtract 40 from 40, which gives 0 as the remainder. Since the remainder is 0, the process ends here with 2.625 as the answer.

• 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.