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57/59 as a decimal

57/59 as a decimal is 0.9661016949152542372881355932203389830508474576271186440677… (the digits 9661016949152542372881355932203389830508474576271186440677 repeat forever), which is 0.97 rounded to 2 decimal places.

÷=0.9661016949152542372881355932203389830508474576271186440677…

Change either number to try your own. The digits 9661016949152542372881355932203389830508474576271186440677 repeat. Rounded to 2 places: 0.97. In lowest terms: 57/59.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 57 by the bottom number 59.

    5759=57÷59\frac{57}{59} = 57 \div 59
  2. 2

    59 does not go into 57 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 59, and write the digit. A remainder comes back after 58 steps, so the digits 9661016949152542372881355932203389830508474576271186440677 repeat forever.

  4. 4

    The result is

    5759=0.9661016949152542372881355932203389830508474576271186440677‾\frac{57}{59} = 0.\overline{9661016949152542372881355932203389830508474576271186440677}
LaTeX source of the formulas on this page
\[ \frac{57}{59} = 0.\overline{9661016949152542372881355932203389830508474576271186440677} \]
\[ \frac{57}{59} = 57 \div 59 \]

Long division of 57 by 59

StepRemainder × 10Divide by 59Remainder left
1570570 ÷ 59 = 939
2390390 ÷ 59 = 636
3360360 ÷ 59 = 66
46060 ÷ 59 = 11
51010 ÷ 59 = 010
6100100 ÷ 59 = 141
7410410 ÷ 59 = 656
8560560 ÷ 59 = 929
9290290 ÷ 59 = 454
10540540 ÷ 59 = 99
119090 ÷ 59 = 131
12310310 ÷ 59 = 515

Questions

What is 57/59 as a decimal?

57/59 as a decimal is 0.9661016949152542372881355932203389830508474576271186440677… (the digits 9661016949152542372881355932203389830508474576271186440677 repeat forever), which is 0.97 rounded to 2 decimal places.

Is 57/59 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 9661016949152542372881355932203389830508474576271186440677 (58 digits) repeats.

What is 57/59 as a percent?

57/59 is 96.6101694915254237288135593220338983050847457627118644067796…% as a percent.

How do I round 57/59 to 2 decimal places?

57/59 rounded to 2 decimal places is 0.97.

57/59 in the other form

Fractions with the bottom number 59

Fractions with the top number 57

    57/59 as a decimal: 0.9661016949152542372881355932203389830508474576271186440677… (with steps) | WordGPT