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7/30 as a decimal

7/30 as a decimal is 0.233333… (the digits 3 repeat forever), which is 0.23 rounded to 2 decimal places.

÷=0.233333…

Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 0.23. In lowest terms: 7/30.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 7 by the bottom number 30.

    730=7÷30\frac{7}{30} = 7 \div 30
  2. 2

    30 does not go into 7 even once, so the whole part is 0 and we carry on after the decimal point.

  3. 3

    Long division: bring down a zero each time (multiply the remainder by 10), divide by 30, and write the digit. A remainder comes back after 2 steps, so the digits 3 repeat forever.

  4. 4

    The result is

    730=0.23‾\frac{7}{30} = 0.2\overline{3}
LaTeX source of the formulas on this page
\[ \frac{7}{30} = 0.2\overline{3} \]
\[ \frac{7}{30} = 7 \div 30 \]

Long division of 7 by 30

StepRemainder × 10Divide by 30Remainder left
17070 ÷ 30 = 210
2100100 ÷ 30 = 310

Questions

What is 7/30 as a decimal?

7/30 as a decimal is 0.233333… (the digits 3 repeat forever), which is 0.23 rounded to 2 decimal places.

Is 7/30 a terminating or a repeating decimal?

It repeats. The bottom number 30 = 2 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 3 (1 digit) repeats.

What is 7/30 as a percent?

7/30 is 23.333333…% as a percent.

How do I round 7/30 to 2 decimal places?

7/30 rounded to 2 decimal places is 0.23.

7/30 in the other form

Fractions with the bottom number 30

Fractions with the top number 7

    7/30 as a decimal: 0.233333… (with steps) | WordGPT