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1/72 as a decimal

1/72 as a decimal is 0.013888… (the digits 8 repeat forever), which is 0.01 rounded to 2 decimal places.

÷=0.013888…

Change either number to try your own. The digits 8 repeat. Rounded to 2 places: 0.01. In lowest terms: 1/72.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 1 by the bottom number 72.

    172=1÷72\frac{1}{72} = 1 \div 72
  2. 2

    72 does not go into 1 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 72, and write the digit. A remainder comes back after 4 steps, so the digits 8 repeat forever.

  4. 4

    The result is

    172=0.0138‾\frac{1}{72} = 0.013\overline{8}
LaTeX source of the formulas on this page
\[ \frac{1}{72} = 0.013\overline{8} \]
\[ \frac{1}{72} = 1 \div 72 \]

Long division of 1 by 72

StepRemainder × 10Divide by 72Remainder left
11010 ÷ 72 = 010
2100100 ÷ 72 = 128
3280280 ÷ 72 = 364
4640640 ÷ 72 = 864

Questions

What is 1/72 as a decimal?

1/72 as a decimal is 0.013888… (the digits 8 repeat forever), which is 0.01 rounded to 2 decimal places.

Is 1/72 a terminating or a repeating decimal?

It repeats. The bottom number 72 = 2 × 2 × 2 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 8 (1 digit) repeats.

What is 1/72 as a percent?

1/72 is 1.388888…% as a percent.

How do I round 1/72 to 2 decimal places?

1/72 rounded to 2 decimal places is 0.01.

1/72 in the other form

Fractions with the bottom number 72

Fractions with the top number 1

    1/72 as a decimal: 0.013888… (with steps) | WordGPT