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1/45 as a decimal

1/45 as a decimal is 0.022222… (the digits 2 repeat forever), which is 0.02 rounded to 2 decimal places.

÷=0.022222…

Change either number to try your own. The digits 2 repeat. Rounded to 2 places: 0.02. In lowest terms: 1/45.

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 45.

    145=1÷45\frac{1}{45} = 1 \div 45
  2. 2

    45 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 45, and write the digit. A remainder comes back after 2 steps, so the digits 2 repeat forever.

  4. 4

    The result is

    145=0.02‾\frac{1}{45} = 0.0\overline{2}
LaTeX source of the formulas on this page
\[ \frac{1}{45} = 0.0\overline{2} \]
\[ \frac{1}{45} = 1 \div 45 \]

Long division of 1 by 45

StepRemainder × 10Divide by 45Remainder left
11010 ÷ 45 = 010
2100100 ÷ 45 = 210

Questions

What is 1/45 as a decimal?

1/45 as a decimal is 0.022222… (the digits 2 repeat forever), which is 0.02 rounded to 2 decimal places.

Is 1/45 a terminating or a repeating decimal?

It repeats. The bottom number 45 = 3 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 2 (1 digit) repeats.

What is 1/45 as a percent?

1/45 is 2.222222…% as a percent.

How do I round 1/45 to 2 decimal places?

1/45 rounded to 2 decimal places is 0.02.

1/45 in the other form

Fractions with the bottom number 45

Fractions with the top number 1

    1/45 as a decimal: 0.022222… (with steps) | WordGPT