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65/66 as a decimal

65/66 as a decimal is 0.984848… (the digits 84 repeat forever), which is 0.98 rounded to 2 decimal places.

÷=0.984848…

Change either number to try your own. The digits 84 repeat. Rounded to 2 places: 0.98. In lowest terms: 65/66.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 65 by the bottom number 66.

    6566=65÷66\frac{65}{66} = 65 \div 66
  2. 2

    66 does not go into 65 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 84 repeat forever.

  4. 4

    The result is

    6566=0.984‾\frac{65}{66} = 0.9\overline{84}
LaTeX source of the formulas on this page
\[ \frac{65}{66} = 0.9\overline{84} \]
\[ \frac{65}{66} = 65 \div 66 \]

Long division of 65 by 66

StepRemainder × 10Divide by 66Remainder left
1650650 ÷ 66 = 956
2560560 ÷ 66 = 832
3320320 ÷ 66 = 456

Questions

What is 65/66 as a decimal?

65/66 as a decimal is 0.984848… (the digits 84 repeat forever), which is 0.98 rounded to 2 decimal places.

Is 65/66 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 84 (2 digits) repeats.

What is 65/66 as a percent?

65/66 is 98.484848…% as a percent.

How do I round 65/66 to 2 decimal places?

65/66 rounded to 2 decimal places is 0.98.

65/66 in the other form

Fractions with the top number 65

    65/66 as a decimal: 0.984848… (with steps) | WordGPT