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7/90 as a decimal

7/90 as a decimal is 0.077777… (the digits 7 repeat forever), which is 0.08 rounded to 2 decimal places.

÷=0.077777…

Change either number to try your own. The digits 7 repeat. Rounded to 2 places: 0.08. In lowest terms: 7/90.

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 90.

    790=7÷90\frac{7}{90} = 7 \div 90
  2. 2

    90 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 90, and write the digit. A remainder comes back after 2 steps, so the digits 7 repeat forever.

  4. 4

    The result is

    790=0.07‾\frac{7}{90} = 0.0\overline{7}
LaTeX source of the formulas on this page
\[ \frac{7}{90} = 0.0\overline{7} \]
\[ \frac{7}{90} = 7 \div 90 \]

Long division of 7 by 90

StepRemainder × 10Divide by 90Remainder left
17070 ÷ 90 = 070
2700700 ÷ 90 = 770

Questions

What is 7/90 as a decimal?

7/90 as a decimal is 0.077777… (the digits 7 repeat forever), which is 0.08 rounded to 2 decimal places.

Is 7/90 a terminating or a repeating decimal?

It repeats. The bottom number 90 = 2 × 3 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 7 (1 digit) repeats.

What is 7/90 as a percent?

7/90 is 7.777777…% as a percent.

How do I round 7/90 to 2 decimal places?

7/90 rounded to 2 decimal places is 0.08.

7/90 in the other form

Fractions with the bottom number 90

Fractions with the top number 7

    7/90 as a decimal: 0.077777… (with steps) | WordGPT