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60/77 as a decimal

60/77 as a decimal is 0.779220… (the digits 779220 repeat forever), which is 0.78 rounded to 2 decimal places.

÷=0.779220…

Change either number to try your own. The digits 779220 repeat. Rounded to 2 places: 0.78. In lowest terms: 60/77.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 60 by the bottom number 77.

    6077=60÷77\frac{60}{77} = 60 \div 77
  2. 2

    77 does not go into 60 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 77, and write the digit. A remainder comes back after 6 steps, so the digits 779220 repeat forever.

  4. 4

    The result is

    6077=0.779220‾\frac{60}{77} = 0.\overline{779220}
LaTeX source of the formulas on this page
\[ \frac{60}{77} = 0.\overline{779220} \]
\[ \frac{60}{77} = 60 \div 77 \]

Long division of 60 by 77

StepRemainder × 10Divide by 77Remainder left
1600600 ÷ 77 = 761
2610610 ÷ 77 = 771
3710710 ÷ 77 = 917
4170170 ÷ 77 = 216
5160160 ÷ 77 = 26
66060 ÷ 77 = 060

Questions

What is 60/77 as a decimal?

60/77 as a decimal is 0.779220… (the digits 779220 repeat forever), which is 0.78 rounded to 2 decimal places.

Is 60/77 a terminating or a repeating decimal?

It repeats. The bottom number 77 = 7 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 779220 (6 digits) repeats.

What is 60/77 as a percent?

60/77 is 77.922077…% as a percent.

How do I round 60/77 to 2 decimal places?

60/77 rounded to 2 decimal places is 0.78.

60/77 in the other form

Fractions with the bottom number 77

Fractions with the top number 60

    60/77 as a decimal: 0.779220… (with steps) | WordGPT