6/77 as a decimal

6/77 as a decimal is 0.077922… (the digits 077922 repeat forever), which is 0.08 rounded to 2 decimal places.

÷=0.077922…

Change either number to try your own. The digits 077922 repeat. Rounded to 2 places: 0.08. In lowest terms: 6/77.

\frac{6}{77} = 0.\overline{077922}

How to work it out

1
A fraction is a division. Divide the top number 6 by the bottom number 77.
$\frac{6}{77} = 6 \div 77$
2
77 does not go into 6 even once, so the whole part is 0 and we carry on after the decimal point.
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 077922 repeat forever.
4
The result is
$\frac{6}{77} = 0.\overline{077922}$

LaTeX source of the formulas on this page

\[ \frac{6}{77} = 0.\overline{077922} \]
\[ \frac{6}{77} = 6 \div 77 \]

Step	Remainder × 10	Divide by 77	Remainder left
1	60	60 ÷ 77 = 0	60
2	600	600 ÷ 77 = 7	61
3	610	610 ÷ 77 = 7	71
4	710	710 ÷ 77 = 9	17
5	170	170 ÷ 77 = 2	16
6	160	160 ÷ 77 = 2	6

What is 6/77 as a decimal?

6/77 as a decimal is 0.077922… (the digits 077922 repeat forever), which is 0.08 rounded to 2 decimal places.

Is 6/77 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 077922 (6 digits) repeats.

What is 6/77 as a percent?

6/77 is 7.792207…% as a percent.

How do I round 6/77 to 2 decimal places?

6/77 rounded to 2 decimal places is 0.08.