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59/99 as a decimal

59/99 as a decimal is 0.595959… (the digits 59 repeat forever), which is 0.60 rounded to 2 decimal places.

÷=0.595959…

Change either number to try your own. The digits 59 repeat. Rounded to 2 places: 0.60. In lowest terms: 59/99.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 59 by the bottom number 99.

    5999=59÷99\frac{59}{99} = 59 \div 99
  2. 2

    99 does not go into 59 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 59 repeat forever.

  4. 4

    The result is

    5999=0.59‾\frac{59}{99} = 0.\overline{59}
LaTeX source of the formulas on this page
\[ \frac{59}{99} = 0.\overline{59} \]
\[ \frac{59}{99} = 59 \div 99 \]

Long division of 59 by 99

StepRemainder × 10Divide by 99Remainder left
1590590 ÷ 99 = 595
2950950 ÷ 99 = 959

Questions

What is 59/99 as a decimal?

59/99 as a decimal is 0.595959… (the digits 59 repeat forever), which is 0.60 rounded to 2 decimal places.

Is 59/99 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 59 (2 digits) repeats.

What is 59/99 as a percent?

59/99 is 59.595959…% as a percent.

How do I round 59/99 to 2 decimal places?

59/99 rounded to 2 decimal places is 0.60.

59/99 in the other form

Fractions with the bottom number 99

Fractions with the top number 59

    59/99 as a decimal: 0.595959… (with steps) | WordGPT