What is 6 and 7/11 as a Decimal?

Fraction to Decimal Converter

What is 6 7/11 as a decimal?

Answer

Fraction 6 7/11 as a decimal is

6.63

≈ 6.64 to hundredths

Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 63 — 2 digits repeat forever

Whole part 6 stays in front; divide the fraction part:

remainder	×10	= digit × 11 + new remainder	digit
7	70	6 × 11 + 4	6
4	40	3 × 11 + 7	3

Remainder 7 is back after the 2nd division → the 2 digits 63 repeat: 0.63.

6 + 0.63 = 6.63

Fraction 6 7/11 as a decimal is 6.(63)

To convert 6 7/11 to a decimal, divide the numerator by the denominator, 7 ÷ 11 = 0.(63), then add the whole part: 6 + 0.(63) = 6.(63).

In lowest terms its denominator 11 has the prime factor 11, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 6 7/11 ≈ 663.64%.