What is 6 and 7/2 as a Decimal?

Fraction to Decimal Converter

What is 6 7/2 as a decimal?

Answer

Fraction 6 7/2 as a decimal is

9.5

Exact, terminating: denominator 2 has only 2s and 5s · 1 decimal place

7 = 3 × 2 + 1: whole part 6 + 3 = 9, then divide the remainder 1

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

The remainder reaches 0 after 1 step → 0.5 ends.

9 + 0.5 = 9.5

Fraction 6 7/2 as a decimal is 9.5

To convert 6 7/2 to a decimal, divide the numerator by the denominator, 7 ÷ 2 = 3.5, then add the whole part: 6 + 3.5 = 9.5.

In lowest terms its denominator 2 has no prime factors other than 2 and 5, so the division ends after 1 decimal place: 6 7/2 = 9.5.

Multiply by 100: 6 7/2 = 950%.