What is 7 and 10/8 as a Decimal?

Fraction to Decimal Converter

What is 7 10/8 as a decimal?

Answer

Fraction 7 10/8 as a decimal is

8.25

Exact, terminating: 2/8 = 1/4 · denominator 4 = 2 × 2 has only 2s and 5s · 2 decimal places

10 = 1 × 8 + 2: whole part 7 + 1 = 8, then divide the remainder 2

remainder	×10	= digit × 8 + new remainder	digit
2	20	2 × 8 + 4	2
4	40	5 × 8 + 0	5

The remainder reaches 0 after 2 steps → 0.25 ends.

8 + 0.25 = 8.25

Fraction 7 10/8 as a decimal is 8.25

To convert 7 10/8 to a decimal, divide the numerator by the denominator, 10 ÷ 8 = 1.25, then add the whole part: 7 + 1.25 = 8.25.

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: 7 10/8 = 8.25.

Multiply by 100: 7 10/8 = 825%.