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53/66 as a decimal

53/66 as a decimal is 0.803030… (the digits 03 repeat forever), which is 0.80 rounded to 2 decimal places.

÷=0.803030…

Change either number to try your own. The digits 03 repeat. Rounded to 2 places: 0.80. In lowest terms: 53/66.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 53 by the bottom number 66.

    5366=53÷66\frac{53}{66} = 53 \div 66
  2. 2

    66 does not go into 53 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 66, and write the digit. A remainder comes back after 3 steps, so the digits 03 repeat forever.

  4. 4

    The result is

    5366=0.803‾\frac{53}{66} = 0.8\overline{03}
LaTeX source of the formulas on this page
\[ \frac{53}{66} = 0.8\overline{03} \]
\[ \frac{53}{66} = 53 \div 66 \]

Long division of 53 by 66

StepRemainder × 10Divide by 66Remainder left
1530530 ÷ 66 = 82
22020 ÷ 66 = 020
3200200 ÷ 66 = 32

Questions

What is 53/66 as a decimal?

53/66 as a decimal is 0.803030… (the digits 03 repeat forever), which is 0.80 rounded to 2 decimal places.

Is 53/66 a terminating or a repeating decimal?

It repeats. The bottom number 66 = 2 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 03 (2 digits) repeats.

What is 53/66 as a percent?

53/66 is 80.303030…% as a percent.

How do I round 53/66 to 2 decimal places?

53/66 rounded to 2 decimal places is 0.80.

53/66 in the other form

Fractions with the top number 53

    53/66 as a decimal: 0.803030… (with steps) | WordGPT