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8/47 as a decimal

8/47 as a decimal is 0.1702127659574468085106382978723404255319148936… (the digits 1702127659574468085106382978723404255319148936 repeat forever), which is 0.17 rounded to 2 decimal places.

÷=0.1702127659574468085106382978723404255319148936…

Change either number to try your own. The digits 1702127659574468085106382978723404255319148936 repeat. Rounded to 2 places: 0.17. In lowest terms: 8/47.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 8 by the bottom number 47.

    847=8÷47\frac{8}{47} = 8 \div 47
  2. 2

    47 does not go into 8 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 47, and write the digit. A remainder comes back after 46 steps, so the digits 1702127659574468085106382978723404255319148936 repeat forever.

  4. 4

    The result is

    847=0.1702127659574468085106382978723404255319148936‾\frac{8}{47} = 0.\overline{1702127659574468085106382978723404255319148936}
LaTeX source of the formulas on this page
\[ \frac{8}{47} = 0.\overline{1702127659574468085106382978723404255319148936} \]
\[ \frac{8}{47} = 8 \div 47 \]

Long division of 8 by 47

StepRemainder × 10Divide by 47Remainder left
18080 ÷ 47 = 133
2330330 ÷ 47 = 71
31010 ÷ 47 = 010
4100100 ÷ 47 = 26
56060 ÷ 47 = 113
6130130 ÷ 47 = 236
7360360 ÷ 47 = 731
8310310 ÷ 47 = 628
9280280 ÷ 47 = 545
10450450 ÷ 47 = 927
11270270 ÷ 47 = 535
12350350 ÷ 47 = 721

Questions

What is 8/47 as a decimal?

8/47 as a decimal is 0.1702127659574468085106382978723404255319148936… (the digits 1702127659574468085106382978723404255319148936 repeat forever), which is 0.17 rounded to 2 decimal places.

Is 8/47 a terminating or a repeating decimal?

It repeats. The bottom number 47 = 47 has a prime factor other than 2 and 5, so the division never ends and the block 1702127659574468085106382978723404255319148936 (46 digits) repeats.

What is 8/47 as a percent?

8/47 is 17.0212765957446808510638297872340425531914893617…% as a percent.

How do I round 8/47 to 2 decimal places?

8/47 rounded to 2 decimal places is 0.17.

8/47 in the other form

Fractions with the bottom number 47

Fractions with the top number 8

    8/47 as a decimal: 0.1702127659574468085106382978723404255319148936… (with steps) | WordGPT