7/3 as a Decimal

7/3 as a decimal is 2.333…, the same as 2 1/3 or about 233.33%.

Result

Answer

\frac{7}{3} = \textcolor{#0b5c56}{2.\overline{3}}

7/3 as a decimal is 2.33333333… – the digit 3 repeats forever.

  • Rounded to 2 places: 2.33
  • Rounded to 4 places: 2.3333
  • Percent: 233.3333%

2 wholes + 1 of 3 equal parts

Step-by-step solution

The problem

\frac{7}{3}

  1. Divide 7 by 3 (long division). Write down how many times 3 goes in, carry the remainder, add a 0 and divide again. The remainder 1 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part7 ÷ 3213 × 2 = 6, 7 − 6 = 1
    Decimal place 110 ÷ 3313 × 3 = 9, 10 − 9 = 1

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

    = 7 \div 3 = \textcolor{#0b5c56}{2.\overline{3}}

All the working together

\begin{aligned} &\frac{7}{3} \\[8pt] &= 7 \div 3 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{2.\overline{3}}\end{aligned}

7/3 in other forms

Decimal2.333… (the 3 repeats forever)
Rounded2.33 (2 places), 2.333 (3 places)
Percent≈ 233.33%
Mixed number2 1/3
Equivalent fractions14/6, 21/9, 28/12, 35/15

Why it repeats

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

Fractions over 3 as decimals

FractionDecimalPercent
1/30.333…≈ 33.33%
2/30.666…≈ 66.67%
4/31.333…≈ 133.33%
5/31.666…≈ 166.67%
7/32.333…≈ 233.33%
8/32.666…≈ 266.67%

Frequently asked questions

What is 7/3 as a decimal?

7/3 as a decimal is 2.333… (the 3 repeats forever). Divide 7 by 3 to get it.

What is 7/3 as a percent?

7/3 is ≈ 233.33%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 7/3 a terminating or a repeating decimal?

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