What is 4 and 9/8 as a Decimal?

Fraction to Decimal Converter

What is 4 9/8 as a decimal?

Answer

Fraction 4 9/8 as a decimal is

5.125

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

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

remainder	×10	= digit × 8 + new remainder	digit
1	10	1 × 8 + 2	1
2	20	2 × 8 + 4	2
4	40	5 × 8 + 0	5

The remainder reaches 0 after 3 steps → 0.125 ends.

5 + 0.125 = 5.125

Fraction 4 9/8 as a decimal is 5.125

To convert 4 9/8 to a decimal, divide the numerator by the denominator, 9 ÷ 8 = 1.125, then add the whole part: 4 + 1.125 = 5.125.

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: 4 9/8 = 5.125.

Multiply by 100: 4 9/8 = 512.5%.