1/30 as a Decimal

1/30 as a decimal is 0.0333…, with the 3 repeating forever (3.33% rounded).

Result

Answer

\frac{1}{30} = \textcolor{#0b5c56}{0.0\overline{3}}

1/30 as a decimal is 0.033333333… – the digit 3 repeats forever.

  • Rounded to 2 places: 0.03
  • Rounded to 4 places: 0.0333
  • Percent: 3.3333%

3 of 100 squares ≈ 1/30

Step-by-step solution

The problem

\frac{1}{30}

  1. Divide 1 by 30 (long division). Write down how many times 30 goes in, carry the remainder, add a 0 and divide again. The remainder 10 came back, so the digits from decimal place 2 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part1 ÷ 300130 × 0 = 0, 1 − 0 = 1
    Decimal place 110 ÷ 3001030 × 0 = 0, 10 − 0 = 10
    Decimal place 2100 ÷ 3031030 × 3 = 90, 100 − 90 = 10

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

    = 1 \div 30 = \textcolor{#0b5c56}{0.0\overline{3}}

All the working together

\begin{aligned} &\frac{1}{30} \\[8pt] &= 1 \div 30 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.0\overline{3}}\end{aligned}

1/30 in other forms

Decimal0.0333… (the 3 repeats forever)
Rounded0.03 (2 places), 0.033 (3 places)
Percent≈ 3.33%
Equivalent fractions2/60, 3/90, 4/120, 5/150

Why it repeats

In lowest terms the denominator is 30 = 2 × 3 × 5. 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 30 as decimals

FractionDecimalPercent
1/300.0333…≈ 3.33%
7/300.2333…≈ 23.33%
11/300.3666…≈ 36.67%
13/300.4333…≈ 43.33%
17/300.5666…≈ 56.67%
19/300.6333…≈ 63.33%
23/300.7666…≈ 76.67%
29/300.9666…≈ 96.67%

Frequently asked questions

What is 1/30 as a decimal?

1/30 as a decimal is 0.0333… (the 3 repeats forever). Divide 1 by 30 to get it.

What is 1/30 as a percent?

1/30 is ≈ 3.33%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 1/30 a terminating or a repeating decimal?

Repeating – the 3 repeats forever. In lowest terms the denominator is 30 = 2 × 3 × 5. 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.