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42/43 as a decimal

42/43 as a decimal is 0.976744186046511627906… (the digits 976744186046511627906 repeat forever), which is 0.98 rounded to 2 decimal places.

÷=0.976744186046511627906…

Change either number to try your own. The digits 976744186046511627906 repeat. Rounded to 2 places: 0.98. In lowest terms: 42/43.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 42 by the bottom number 43.

    4243=42÷43\frac{42}{43} = 42 \div 43
  2. 2

    43 does not go into 42 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 43, and write the digit. A remainder comes back after 21 steps, so the digits 976744186046511627906 repeat forever.

  4. 4

    The result is

    4243=0.976744186046511627906‾\frac{42}{43} = 0.\overline{976744186046511627906}
LaTeX source of the formulas on this page
\[ \frac{42}{43} = 0.\overline{976744186046511627906} \]
\[ \frac{42}{43} = 42 \div 43 \]

Long division of 42 by 43

StepRemainder × 10Divide by 43Remainder left
1420420 ÷ 43 = 933
2330330 ÷ 43 = 729
3290290 ÷ 43 = 632
4320320 ÷ 43 = 719
5190190 ÷ 43 = 418
6180180 ÷ 43 = 48
78080 ÷ 43 = 137
8370370 ÷ 43 = 826
9260260 ÷ 43 = 62
102020 ÷ 43 = 020
11200200 ÷ 43 = 428
12280280 ÷ 43 = 622

Questions

What is 42/43 as a decimal?

42/43 as a decimal is 0.976744186046511627906… (the digits 976744186046511627906 repeat forever), which is 0.98 rounded to 2 decimal places.

Is 42/43 a terminating or a repeating decimal?

It repeats. The bottom number 43 = 43 has a prime factor other than 2 and 5, so the division never ends and the block 976744186046511627906 (21 digits) repeats.

What is 42/43 as a percent?

42/43 is 97.674418604651162790697…% as a percent.

How do I round 42/43 to 2 decimal places?

42/43 rounded to 2 decimal places is 0.98.

42/43 in the other form

Fractions with the bottom number 43

Fractions with the top number 42

    42/43 as a decimal: 0.976744186046511627906… (with steps) | WordGPT