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5/47 as a decimal

5/47 as a decimal is 0.1063829787234042553191489361702127659574468085… (the digits 1063829787234042553191489361702127659574468085 repeat forever), which is 0.11 rounded to 2 decimal places.

÷=0.1063829787234042553191489361702127659574468085…

Change either number to try your own. The digits 1063829787234042553191489361702127659574468085 repeat. Rounded to 2 places: 0.11. In lowest terms: 5/47.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 5 by the bottom number 47.

    547=5÷47\frac{5}{47} = 5 \div 47
  2. 2

    47 does not go into 5 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 1063829787234042553191489361702127659574468085 repeat forever.

  4. 4

    The result is

    547=0.1063829787234042553191489361702127659574468085‾\frac{5}{47} = 0.\overline{1063829787234042553191489361702127659574468085}
LaTeX source of the formulas on this page
\[ \frac{5}{47} = 0.\overline{1063829787234042553191489361702127659574468085} \]
\[ \frac{5}{47} = 5 \div 47 \]

Long division of 5 by 47

StepRemainder × 10Divide by 47Remainder left
15050 ÷ 47 = 13
23030 ÷ 47 = 030
3300300 ÷ 47 = 618
4180180 ÷ 47 = 339
5390390 ÷ 47 = 814
6140140 ÷ 47 = 246
7460460 ÷ 47 = 937
8370370 ÷ 47 = 741
9410410 ÷ 47 = 834
10340340 ÷ 47 = 711
11110110 ÷ 47 = 216
12160160 ÷ 47 = 319

Questions

What is 5/47 as a decimal?

5/47 as a decimal is 0.1063829787234042553191489361702127659574468085… (the digits 1063829787234042553191489361702127659574468085 repeat forever), which is 0.11 rounded to 2 decimal places.

Is 5/47 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 1063829787234042553191489361702127659574468085 (46 digits) repeats.

What is 5/47 as a percent?

5/47 is 10.6382978723404255319148936170212765957446808510…% as a percent.

How do I round 5/47 to 2 decimal places?

5/47 rounded to 2 decimal places is 0.11.

5/47 in the other form

Fractions with the bottom number 47

Fractions with the top number 5

    5/47 as a decimal: 0.1063829787234042553191489361702127659574468085… (with steps) | WordGPT