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85/88 as a decimal

85/88 as a decimal is 0.965909… (the digits 90 repeat forever), which is 0.97 rounded to 2 decimal places.

÷=0.965909…

Change either number to try your own. The digits 90 repeat. Rounded to 2 places: 0.97. In lowest terms: 85/88.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 85 by the bottom number 88.

    8588=85÷88\frac{85}{88} = 85 \div 88
  2. 2

    88 does not go into 85 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 88, and write the digit. A remainder comes back after 5 steps, so the digits 90 repeat forever.

  4. 4

    The result is

    8588=0.96590‾\frac{85}{88} = 0.965\overline{90}
LaTeX source of the formulas on this page
\[ \frac{85}{88} = 0.965\overline{90} \]
\[ \frac{85}{88} = 85 \div 88 \]

Long division of 85 by 88

StepRemainder × 10Divide by 88Remainder left
1850850 ÷ 88 = 958
2580580 ÷ 88 = 652
3520520 ÷ 88 = 580
4800800 ÷ 88 = 98
58080 ÷ 88 = 080

Questions

What is 85/88 as a decimal?

85/88 as a decimal is 0.965909… (the digits 90 repeat forever), which is 0.97 rounded to 2 decimal places.

Is 85/88 a terminating or a repeating decimal?

It repeats. The bottom number 88 = 2 × 2 × 2 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 90 (2 digits) repeats.

What is 85/88 as a percent?

85/88 is 96.590909…% as a percent.

How do I round 85/88 to 2 decimal places?

85/88 rounded to 2 decimal places is 0.97.

85/88 in the other form

Fractions with the bottom number 88

Fractions with the top number 85

    85/88 as a decimal: 0.965909… (with steps) | WordGPT