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1/47 as a decimal

1/47 as a decimal is 0.0212765957446808510638297872340425531914893617… (the digits 0212765957446808510638297872340425531914893617 repeat forever), which is 0.02 rounded to 2 decimal places.

÷=0.0212765957446808510638297872340425531914893617…

Change either number to try your own. The digits 0212765957446808510638297872340425531914893617 repeat. Rounded to 2 places: 0.02. In lowest terms: 1/47.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 1 by the bottom number 47.

    147=1÷47\frac{1}{47} = 1 \div 47
  2. 2

    47 does not go into 1 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 0212765957446808510638297872340425531914893617 repeat forever.

  4. 4

    The result is

    147=0.0212765957446808510638297872340425531914893617‾\frac{1}{47} = 0.\overline{0212765957446808510638297872340425531914893617}
LaTeX source of the formulas on this page
\[ \frac{1}{47} = 0.\overline{0212765957446808510638297872340425531914893617} \]
\[ \frac{1}{47} = 1 \div 47 \]

Long division of 1 by 47

StepRemainder × 10Divide by 47Remainder left
11010 ÷ 47 = 010
2100100 ÷ 47 = 26
36060 ÷ 47 = 113
4130130 ÷ 47 = 236
5360360 ÷ 47 = 731
6310310 ÷ 47 = 628
7280280 ÷ 47 = 545
8450450 ÷ 47 = 927
9270270 ÷ 47 = 535
10350350 ÷ 47 = 721
11210210 ÷ 47 = 422
12220220 ÷ 47 = 432

Questions

What is 1/47 as a decimal?

1/47 as a decimal is 0.0212765957446808510638297872340425531914893617… (the digits 0212765957446808510638297872340425531914893617 repeat forever), which is 0.02 rounded to 2 decimal places.

Is 1/47 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 0212765957446808510638297872340425531914893617 (46 digits) repeats.

What is 1/47 as a percent?

1/47 is 2.1276595744680851063829787234042553191489361702…% as a percent.

How do I round 1/47 to 2 decimal places?

1/47 rounded to 2 decimal places is 0.02.

1/47 in the other form

Fractions with the bottom number 47

Fractions with the top number 1

    1/47 as a decimal: 0.0212765957446808510638297872340425531914893617… (with steps) | WordGPT