8 9/16 as a Decimal

Answer

8 9/16 in decimals can be written as 8.5625. It is a terminating decimal.

Explanation

To convert 8 9/16 into a decimal, we will first convert the fractional part 9/16 into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: Perform the division of 9 by 16. Since 9 is smaller than 16, we will use decimal points. Add a decimal point to the quotient and write 0.

Step 3: Bring down a 0 to make it 90, and divide 90 by 16.

Step 4: 16 goes into 90 five times (16 × 5 = 80). Write 5 in the quotient. Subtract 80 from 90, giving a remainder of 10.

Step 5: Bring down another 0 to make it 100, and divide 100 by 16.

Step 6: 16 goes into 100 six times (16 × 6 = 96). Write 6 in the quotient. Subtract 96 from 100, giving a remainder of 4.

Step 7: Bring down another 0 to make it 40, and divide 40 by 16.

Step 8: 16 goes into 40 two times (16 × 2 = 32). Write 2 in the quotient. Subtract 32 from 40, giving a remainder of 8.

Step 9: Bring down another 0 to make it 80, and divide 80 by 16.

Step 10: 16 goes into 80 five times (16 × 5 = 80). Write 5 in the quotient. Subtract 80 from 80, giving a remainder of 0. The division process ends here, giving us the decimal 0.5625 for the fractional part.

Combine it with the whole number 8 to get 8.5625.

• 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.