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17/42 as a percent

17/42 as a percent is 40.476190…% (the digits 476190 repeat forever), which is 40.48% rounded to 2 decimal places.

÷=40.476190…%

Change either number to try your own. The digits 476190 repeat. Rounded to 2 places: 40.48%. In lowest terms: 17/42.

See the full steps for these numbers

How to work it out

  1. 1

    Multiply by 100 to get a percent: 17/42 × 100 = 1700/42. Then divide 1700 by 42.

    1742×100=170042\frac{17}{42} \times 100 = \frac{1700}{42}
  2. 2

    42 goes into 1700 40 times with 20 left over, so the whole part is 40.

  3. 3

    Long division: bring down a zero each time (multiply the remainder by 10), divide by 42, and write the digit. A remainder comes back after 6 steps, so the digits 476190 repeat forever.

  4. 4

    The result is

    1742=40.476190‾%\frac{17}{42} = 40.\overline{476190}\%
LaTeX source of the formulas on this page
\[ \frac{17}{42} = 40.\overline{476190}\% \]
\[ \frac{17}{42} \times 100 = \frac{1700}{42} \]

Long division of 1700 by 42

StepRemainder × 10Divide by 42Remainder left
1200200 ÷ 42 = 432
2320320 ÷ 42 = 726
3260260 ÷ 42 = 68
48080 ÷ 42 = 138
5380380 ÷ 42 = 92
62020 ÷ 42 = 020

Questions

What is 17/42 as a percent?

17/42 as a percent is 40.476190…% (the digits 476190 repeat forever), which is 40.48% rounded to 2 decimal places.

Is 17/42 a terminating or a repeating decimal?

It repeats. The bottom number 42 = 2 × 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 476190 (6 digits) repeats.

What is 17/42 as a decimal?

17/42 is 0.4047619… as a decimal.

How do I round 17/42 to 2 decimal places?

17/42 rounded to 2 decimal places is 40.48%.

17/42 in the other form

Fractions with the bottom number 42

Fractions with the top number 17

    17/42 as a percent: 40.476190…% (with steps) | WordGPT