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5/99 as a decimal

5/99 as a decimal is 0.050505… (the digits 05 repeat forever), which is 0.05 rounded to 2 decimal places.

÷=0.050505…

Change either number to try your own. The digits 05 repeat. Rounded to 2 places: 0.05. In lowest terms: 5/99.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 5 by the bottom number 99.

    599=5÷99\frac{5}{99} = 5 \div 99
  2. 2

    99 does not go into 5 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 99, and write the digit. A remainder comes back after 2 steps, so the digits 05 repeat forever.

  4. 4

    The result is

    599=0.05‾\frac{5}{99} = 0.\overline{05}
LaTeX source of the formulas on this page
\[ \frac{5}{99} = 0.\overline{05} \]
\[ \frac{5}{99} = 5 \div 99 \]

Long division of 5 by 99

StepRemainder × 10Divide by 99Remainder left
15050 ÷ 99 = 050
2500500 ÷ 99 = 55

Questions

What is 5/99 as a decimal?

5/99 as a decimal is 0.050505… (the digits 05 repeat forever), which is 0.05 rounded to 2 decimal places.

Is 5/99 a terminating or a repeating decimal?

It repeats. The bottom number 99 = 3 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 05 (2 digits) repeats.

What is 5/99 as a percent?

5/99 is 5.050505…% as a percent.

How do I round 5/99 to 2 decimal places?

5/99 rounded to 2 decimal places is 0.05.

5/99 in the other form

Fractions with the bottom number 99

Fractions with the top number 5

    5/99 as a decimal: 0.050505… (with steps) | WordGPT