What is 55/8 as a Decimal?

Fraction to Decimal Converter

What is 55/8 as a decimal?

Answer

Fraction 55/8 as a decimal is

6.875

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

55 = 6 × 8 + 7: whole part 6, then divide the remainder 7

remainder	×10	= digit × 8 + new remainder	digit
7	70	8 × 8 + 6	8
6	60	7 × 8 + 4	7
4	40	5 × 8 + 0	5

The remainder reaches 0 after 3 steps → 0.875 ends.

6 + 0.875 = 6.875

Fraction 55/8 as a decimal is 6.875

To convert 55/8 to a decimal, divide the numerator by the denominator: 55 ÷ 8 = 6.875.

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: 55/8 = 6.875.

Multiply by 100: 55/8 = 687.5%.