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17/47 as a decimal

17/47 as a decimal is 0.3617021276595744680851063829787234042553191489… (the digits 3617021276595744680851063829787234042553191489 repeat forever), which is 0.36 rounded to 2 decimal places.

÷=0.3617021276595744680851063829787234042553191489…

Change either number to try your own. The digits 3617021276595744680851063829787234042553191489 repeat. Rounded to 2 places: 0.36. In lowest terms: 17/47.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 17 by the bottom number 47.

    1747=17÷47\frac{17}{47} = 17 \div 47
  2. 2

    47 does not go into 17 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 3617021276595744680851063829787234042553191489 repeat forever.

  4. 4

    The result is

    1747=0.3617021276595744680851063829787234042553191489‾\frac{17}{47} = 0.\overline{3617021276595744680851063829787234042553191489}
LaTeX source of the formulas on this page
\[ \frac{17}{47} = 0.\overline{3617021276595744680851063829787234042553191489} \]
\[ \frac{17}{47} = 17 \div 47 \]

Long division of 17 by 47

StepRemainder × 10Divide by 47Remainder left
1170170 ÷ 47 = 329
2290290 ÷ 47 = 68
38080 ÷ 47 = 133
4330330 ÷ 47 = 71
51010 ÷ 47 = 010
6100100 ÷ 47 = 26
76060 ÷ 47 = 113
8130130 ÷ 47 = 236
9360360 ÷ 47 = 731
10310310 ÷ 47 = 628
11280280 ÷ 47 = 545
12450450 ÷ 47 = 927

Questions

What is 17/47 as a decimal?

17/47 as a decimal is 0.3617021276595744680851063829787234042553191489… (the digits 3617021276595744680851063829787234042553191489 repeat forever), which is 0.36 rounded to 2 decimal places.

Is 17/47 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 3617021276595744680851063829787234042553191489 (46 digits) repeats.

What is 17/47 as a percent?

17/47 is 36.1702127659574468085106382978723404255319148936…% as a percent.

How do I round 17/47 to 2 decimal places?

17/47 rounded to 2 decimal places is 0.36.

17/47 in the other form

Fractions with the bottom number 47

Fractions with the top number 17

    17/47 as a decimal: 0.3617021276595744680851063829787234042553191489… (with steps) | WordGPT