8 69/80 as a Decimal

Answer

8 69/80 in decimals can be written as 8.8625. It is a terminating decimal, meaning it ends and does not repeat.

Explanation

To get 8 69/80 in decimal, we will use the division method for the fractional part. Here, as 69 is smaller than 80, we will proceed with the division to convert the fraction to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (69) will be taken as the dividend and the denominator (80) will be taken as the divisor.

Step 2: Divide 69 by 80. As 69 is smaller than 80, we will add a decimal point and 0 to the dividend, making it 690.

Step 3: Now, 80 goes into 690 eight times since 80 × 8 = 640. Write 8 in the quotient place.

Step 4: Subtract 640 from 690, which gives 50. Bring down another 0 to make it 500.

Step 5: 80 goes into 500 six times since 80 × 6 = 480. Write 6 in the quotient place.

Step 6: Subtract 480 from 500, which gives 20. Bring down another 0 to make it 200.

Step 7: 80 goes into 200 two times since 80 × 2 = 160. Write 2 in the quotient place.

Step 8: Subtract 160 from 200, which gives 40. Bring down another 0 to make it 400.

Step 9: 80 goes into 400 five times since 80 × 5 = 400. Write 5 in the quotient place and the remainder is 0.

The answer for 8 69/80 as a decimal will be 8.8625.

• Mixed Number: A number consisting of an integer and a fraction combined.

• 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.