7/6 as a Decimal

7/6 as a decimal is 1.1666…, the same as 1 1/6 or about 116.67%.

Result

Answer

\frac{7}{6} = \textcolor{#0b5c56}{1.1\overline{6}}

7/6 as a decimal is 1.166666666… – the digit 6 repeats forever.

  • Rounded to 2 places: 1.17
  • Rounded to 4 places: 1.1667
  • Percent: 116.6667%

1 whole + 1 of 6 equal parts

Step-by-step solution

The problem

\frac{7}{6}

  1. Divide 7 by 6 (long division). Write down how many times 6 goes in, carry the remainder, add a 0 and divide again. The remainder 4 came back, so the digits from decimal place 2 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part7 ÷ 6116 × 1 = 6, 7 − 6 = 1
    Decimal place 110 ÷ 6146 × 1 = 6, 10 − 6 = 4
    Decimal place 240 ÷ 6646 × 6 = 36, 40 − 36 = 4

  2. Read off the decimal. A bar over digits means they repeat forever.

    = 7 \div 6 = \textcolor{#0b5c56}{1.1\overline{6}}

All the working together

\begin{aligned} &\frac{7}{6} \\[8pt] &= 7 \div 6 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{1.1\overline{6}}\end{aligned}

7/6 in other forms

Decimal1.1666… (the 6 repeats forever)
Rounded1.17 (2 places), 1.167 (3 places)
Percent≈ 116.67%
Mixed number1 1/6
Equivalent fractions14/12, 21/18, 28/24, 35/30

Why it repeats

In lowest terms the denominator is 6 = 2 × 3. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 6 repeats forever.

Fractions over 6 as decimals

FractionDecimalPercent
1/60.1666…≈ 16.67%
2/60.333…≈ 33.33%
3/60.550%
4/60.666…≈ 66.67%
5/60.8333…≈ 83.33%
7/61.1666…≈ 116.67%
8/61.333…≈ 133.33%
9/61.5150%
10/61.666…≈ 166.67%
11/61.8333…≈ 183.33%
13/62.1666…≈ 216.67%
14/62.333…≈ 233.33%
15/62.5250%
16/62.666…≈ 266.67%
17/62.8333…≈ 283.33%

Frequently asked questions

What is 7/6 as a decimal?

7/6 as a decimal is 1.1666… (the 6 repeats forever). Divide 7 by 6 to get it.

What is 7/6 as a percent?

7/6 is ≈ 116.67%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 7/6 a terminating or a repeating decimal?

Repeating – the 6 repeats forever. In lowest terms the denominator is 6 = 2 × 3. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 6 repeats forever.

More fractions as decimals

Any other fraction: use the Fraction to Decimal Calculator, or see every fraction to sixteenths on the printable fraction chart.