What is 7 and 2/6 as a Decimal?

Fraction to Decimal Converter

What is 7 2/6 as a decimal?

Answer

Fraction 7 2/6 as a decimal is

7.3

≈ 7.33 to hundredths

Repeating decimal: 2/6 = 1/3 · denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever

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

remainder	×10	= digit × 6 + new remainder	digit
2	20	3 × 6 + 2	3

Remainder 2 is back after the 1st division → the digit 3 repeats forever: 0.3.

7 + 0.3 = 7.3

Fraction 7 2/6 as a decimal is 7.(3)

To convert 7 2/6 to a decimal, divide the numerator by the denominator, 2 ÷ 6 = 0.(3), then add the whole part: 7 + 0.(3) = 7.(3).

In lowest terms its denominator 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 7 2/6 ≈ 733.33%.