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67/87 as a decimal

67/87 as a decimal is 0.7701149425287356321839080459… (the digits 7701149425287356321839080459 repeat forever), which is 0.77 rounded to 2 decimal places.

÷=0.7701149425287356321839080459…

Change either number to try your own. The digits 7701149425287356321839080459 repeat. Rounded to 2 places: 0.77. In lowest terms: 67/87.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 67 by the bottom number 87.

    6787=67÷87\frac{67}{87} = 67 \div 87
  2. 2

    87 does not go into 67 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 87, and write the digit. A remainder comes back after 28 steps, so the digits 7701149425287356321839080459 repeat forever.

  4. 4

    The result is

    6787=0.7701149425287356321839080459‾\frac{67}{87} = 0.\overline{7701149425287356321839080459}
LaTeX source of the formulas on this page
\[ \frac{67}{87} = 0.\overline{7701149425287356321839080459} \]
\[ \frac{67}{87} = 67 \div 87 \]

Long division of 67 by 87

StepRemainder × 10Divide by 87Remainder left
1670670 ÷ 87 = 761
2610610 ÷ 87 = 71
31010 ÷ 87 = 010
4100100 ÷ 87 = 113
5130130 ÷ 87 = 143
6430430 ÷ 87 = 482
7820820 ÷ 87 = 937
8370370 ÷ 87 = 422
9220220 ÷ 87 = 246
10460460 ÷ 87 = 525
11250250 ÷ 87 = 276
12760760 ÷ 87 = 864

Questions

What is 67/87 as a decimal?

67/87 as a decimal is 0.7701149425287356321839080459… (the digits 7701149425287356321839080459 repeat forever), which is 0.77 rounded to 2 decimal places.

Is 67/87 a terminating or a repeating decimal?

It repeats. The bottom number 87 = 3 × 29 has a prime factor other than 2 and 5, so the division never ends and the block 7701149425287356321839080459 (28 digits) repeats.

What is 67/87 as a percent?

67/87 is 77.0114942528735632183908045977…% as a percent.

How do I round 67/87 to 2 decimal places?

67/87 rounded to 2 decimal places is 0.77.

67/87 in the other form

Fractions with the bottom number 87

Fractions with the top number 67

    67/87 as a decimal: 0.7701149425287356321839080459… (with steps) | WordGPT