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42/59 as a percent

42/59 as a percent is 71.1864406779661016949152542372881355932203389830508474576271…% (the digits 1864406779661016949152542372881355932203389830508474576271 repeat forever), which is 71.19% rounded to 2 decimal places.

÷=71.1864406779661016949152542372881355932203389830508474576271…%

Change either number to try your own. The digits 1864406779661016949152542372881355932203389830508474576271 repeat. Rounded to 2 places: 71.19%. In lowest terms: 42/59.

See the full steps for these numbers

How to work it out

  1. 1

    Multiply by 100 to get a percent: 42/59 × 100 = 4200/59. Then divide 4200 by 59.

    4259×100=420059\frac{42}{59} \times 100 = \frac{4200}{59}
  2. 2

    59 goes into 4200 71 times with 11 left over, so the whole part is 71.

  3. 3

    Long division: bring down a zero each time (multiply the remainder by 10), divide by 59, and write the digit. A remainder comes back after 58 steps, so the digits 1864406779661016949152542372881355932203389830508474576271 repeat forever.

  4. 4

    The result is

    4259=71.1864406779661016949152542372881355932203389830508474576271‾%\frac{42}{59} = 71.\overline{1864406779661016949152542372881355932203389830508474576271}\%
LaTeX source of the formulas on this page
\[ \frac{42}{59} = 71.\overline{1864406779661016949152542372881355932203389830508474576271}\% \]
\[ \frac{42}{59} \times 100 = \frac{4200}{59} \]

Long division of 4200 by 59

StepRemainder × 10Divide by 59Remainder left
1110110 ÷ 59 = 151
2510510 ÷ 59 = 838
3380380 ÷ 59 = 626
4260260 ÷ 59 = 424
5240240 ÷ 59 = 44
64040 ÷ 59 = 040
7400400 ÷ 59 = 646
8460460 ÷ 59 = 747
9470470 ÷ 59 = 757
10570570 ÷ 59 = 939
11390390 ÷ 59 = 636
12360360 ÷ 59 = 66

Questions

What is 42/59 as a percent?

42/59 as a percent is 71.1864406779661016949152542372881355932203389830508474576271…% (the digits 1864406779661016949152542372881355932203389830508474576271 repeat forever), which is 71.19% rounded to 2 decimal places.

Is 42/59 a terminating or a repeating decimal?

It repeats. The bottom number 59 = 59 has a prime factor other than 2 and 5, so the division never ends and the block 1864406779661016949152542372881355932203389830508474576271 (58 digits) repeats.

What is 42/59 as a decimal?

42/59 is 0.7118644067796610169491525423728813559322033898305084745762… as a decimal.

How do I round 42/59 to 2 decimal places?

42/59 rounded to 2 decimal places is 71.19%.

42/59 in the other form

Fractions with the bottom number 59

Fractions with the top number 42

    42/59 as a percent: 71.1864406779661016949152542372881355932203389830508474576271…% (with steps) | WordGPT