What is 8 and 5/4 as a Decimal?

Fraction to Decimal Converter

What is 8 5/4 as a decimal?

Answer

Fraction 8 5/4 as a decimal is

9.25

Exact, terminating: denominator 4 = 2 × 2 has only 2s and 5s · 2 decimal places

5 = 1 × 4 + 1: whole part 8 + 1 = 9, then divide the remainder 1

remainder	×10	= digit × 4 + new remainder	digit
1	10	2 × 4 + 2	2
2	20	5 × 4 + 0	5

The remainder reaches 0 after 2 steps → 0.25 ends.

9 + 0.25 = 9.25

Fraction 8 5/4 as a decimal is 9.25

To convert 8 5/4 to a decimal, divide the numerator by the denominator, 5 ÷ 4 = 1.25, then add the whole part: 8 + 1.25 = 9.25.

In lowest terms its denominator 4 = 2 × 2 has no prime factors other than 2 and 5, so the division ends after 2 decimal places: 8 5/4 = 9.25.

Multiply by 100: 8 5/4 = 925%.