What is 8 and 7/8 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 8 7/8 as a decimal?

Answer

Fraction 8 7/8 as a decimal is
8.875

Exact, terminating: denominator 8 = 2 × 2 × 2 has only 2s and 5s · 3 decimal places

8 7/8: whole part, then 7 ÷ 8

Whole part 8 stays in front; divide the fraction part:

remainder×10= digit × 8 + new remainderdigit
7708 × 8 + 68
6607 × 8 + 47
4405 × 8 + 05

The remainder reaches 0 after 3 steps → 0.875 ends.

8 + 0.875 = 8.875

See Also

Fraction to Decimal Conversion Table

FractionDecimal
8 7/88.875
8 7/98.7
8 7/108.7
8 7/118.63
8 7/128.583
8 7/138.538461
8 7/158.46
8 7/168.4375
8 7/198.368421052631578947
8 7/208.35

FAQ

What is 8 7/8 as a decimal?

Fraction 8 7/8 as a decimal is 8.875

How do you convert 8 7/8 to a decimal?

To convert 8 7/8 to a decimal, divide the numerator by the denominator, 7 ÷ 8 = 0.875, then add the whole part: 8 + 0.875 = 8.875.

Why is 8 7/8 a terminating decimal?

In lowest terms its denominator 8 = 2 × 2 × 2 has no prime factors other than 2 and 5, so the division ends after 3 decimal places: 8 7/8 = 8.875.

What is 8 7/8 as a percent?

Multiply by 100: 8 7/8 = 887.5%.