What is 8 and 7/2 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 8 7/2 as a decimal?

Answer

Fraction 8 7/2 as a decimal is
11.5

Exact, terminating: denominator 2 has only 2s and 5s · 1 decimal place

8 7/2: whole part, then 7 ÷ 2

7 = 3 × 2 + 1: whole part 8 + 3 = 11, then divide the remainder 1

remainder×10= digit × 2 + new remainderdigit
1105 × 2 + 05

The remainder reaches 0 after 1 step → 0.5 ends.

11 + 0.5 = 11.5

See Also

Fraction to Decimal Conversion Table

FractionDecimal
8 7/211.5
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 7/2 as a decimal?

Fraction 8 7/2 as a decimal is 11.5

How do you convert 8 7/2 to a decimal?

To convert 8 7/2 to a decimal, divide the numerator by the denominator, 7 ÷ 2 = 3.5, then add the whole part: 8 + 3.5 = 11.5.

Why is 8 7/2 a terminating decimal?

In lowest terms its denominator 2 has no prime factors other than 2 and 5, so the division ends after 1 decimal place: 8 7/2 = 11.5.

What is 8 7/2 as a percent?

Multiply by 100: 8 7/2 = 1,150%.