What is 11/7 as a Decimal?

Fraction to Decimal Converter

What is 11/7 as a decimal?

Answer

Fraction 11/7 as a decimal is

1.571428

≈ 1.57 to hundredths

Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 571428 — 6 digits repeat forever

11 = 1 × 7 + 4: whole part 1, then divide the remainder 4

remainder	×10	= digit × 7 + new remainder	digit
4	40	5 × 7 + 5	5
5	50	7 × 7 + 1	7
1	10	1 × 7 + 3	1
3	30	4 × 7 + 2	4
2	20	2 × 7 + 6	2
6	60	8 × 7 + 4	8

Remainder 4 is back after the 6th division → the 6 digits 571428 repeat: 0.571428.

1 + 0.571428 = 1.571428

Fraction 11/7 as a decimal is 1.(571428)

To convert 11/7 to a decimal, divide the numerator by the denominator: 11 ÷ 7 = 1.(571428).

In lowest terms its denominator 7 has the prime factor 7, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 11/7 ≈ 157.14%.