7/9 as a Decimal

7/9 as a decimal is 0.777…, with the 7 repeating forever (77.78% rounded).

Result

Answer

\frac{7}{9} = \textcolor{#0b5c56}{0.\overline{7}}

7/9 as a decimal is 0.77777777… – the digit 7 repeats forever.

  • Rounded to 2 places: 0.78
  • Rounded to 4 places: 0.7778
  • Percent: 77.7778%

78 of 100 squares ≈ 7/9

Step-by-step solution

The problem

\frac{7}{9}

  1. Divide 7 by 9 (long division). Write down how many times 9 goes in, carry the remainder, add a 0 and divide again. The remainder 7 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part7 ÷ 9079 × 0 = 0, 7 − 0 = 7
    Decimal place 170 ÷ 9779 × 7 = 63, 70 − 63 = 7

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

    = 7 \div 9 = \textcolor{#0b5c56}{0.\overline{7}}

All the working together

\begin{aligned} &\frac{7}{9} \\[8pt] &= 7 \div 9 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.\overline{7}}\end{aligned}

7/9 in other forms

Decimal0.777… (the 7 repeats forever)
Rounded0.78 (2 places), 0.778 (3 places)
Percent≈ 77.78%
Equivalent fractions14/18, 21/27, 28/36, 35/45
The other way0.7 repeating as a fraction

Why it repeats

In lowest terms the denominator is 9 = 32. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 7 repeats forever.

Fractions over 9 as decimals

FractionDecimalPercent
1/90.111…≈ 11.11%
2/90.222…≈ 22.22%
3/90.333…≈ 33.33%
4/90.444…≈ 44.44%
5/90.555…≈ 55.56%
6/90.666…≈ 66.67%
7/90.777…≈ 77.78%
8/90.888…≈ 88.89%
10/91.111…≈ 111.11%
11/91.222…≈ 122.22%
12/91.333…≈ 133.33%
13/91.444…≈ 144.44%
14/91.555…≈ 155.56%
15/91.666…≈ 166.67%
16/91.777…≈ 177.78%
17/91.888…≈ 188.89%
19/92.111…≈ 211.11%
20/92.222…≈ 222.22%
21/92.333…≈ 233.33%
22/92.444…≈ 244.44%
23/92.555…≈ 255.56%
24/92.666…≈ 266.67%
25/92.777…≈ 277.78%
26/92.888…≈ 288.89%

Frequently asked questions

What is 7/9 as a decimal?

7/9 as a decimal is 0.777… (the 7 repeats forever). Divide 7 by 9 to get it.

What is 7/9 as a percent?

7/9 is ≈ 77.78%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 7/9 a terminating or a repeating decimal?

Repeating – the 7 repeats forever. In lowest terms the denominator is 9 = 32. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 7 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.