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7/27 as a decimal

7/27 as a decimal is 0.259259… (the digits 259 repeat forever), which is 0.26 rounded to 2 decimal places.

÷=0.259259…

Change either number to try your own. The digits 259 repeat. Rounded to 2 places: 0.26. In lowest terms: 7/27.

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 27.

    727=7÷27\frac{7}{27} = 7 \div 27
  2. 2

    27 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 27, and write the digit. A remainder comes back after 3 steps, so the digits 259 repeat forever.

  4. 4

    The result is

    727=0.259‾\frac{7}{27} = 0.\overline{259}
LaTeX source of the formulas on this page
\[ \frac{7}{27} = 0.\overline{259} \]
\[ \frac{7}{27} = 7 \div 27 \]

Long division of 7 by 27

StepRemainder × 10Divide by 27Remainder left
17070 ÷ 27 = 216
2160160 ÷ 27 = 525
3250250 ÷ 27 = 97

Questions

What is 7/27 as a decimal?

7/27 as a decimal is 0.259259… (the digits 259 repeat forever), which is 0.26 rounded to 2 decimal places.

Is 7/27 a terminating or a repeating decimal?

It repeats. The bottom number 27 = 3 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 259 (3 digits) repeats.

What is 7/27 as a percent?

7/27 is 25.925925…% as a percent.

How do I round 7/27 to 2 decimal places?

7/27 rounded to 2 decimal places is 0.26.

7/27 in the other form

Fractions with the bottom number 27

Fractions with the top number 7

    7/27 as a decimal: 0.259259… (with steps) | WordGPT