What is 7 and 8/16 as a Decimal?

Fraction to Decimal Converter

What is 7 8/16 as a decimal?

Answer

Fraction 7 8/16 as a decimal is

7.5

Exact, terminating: 8/16 = 1/2 · denominator 2 has only 2s and 5s · 1 decimal place

Whole part 7 stays in front; divide the fraction part:

remainder	×10	= digit × 16 + new remainder	digit
8	80	5 × 16 + 0	5

The remainder reaches 0 after 1 step → 0.5 ends.

7 + 0.5 = 7.5

Fraction 7 8/16 as a decimal is 7.5

To convert 7 8/16 to a decimal, divide the numerator by the denominator, 8 ÷ 16 = 0.5, then add the whole part: 7 + 0.5 = 7.5.

In lowest terms its denominator 2 has no prime factors other than 2 and 5, so the division ends after 1 decimal place: 7 8/16 = 7.5.

Multiply by 100: 7 8/16 = 750%.