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35/38 as a decimal

35/38 as a decimal is 0.9210526315789473684… (the digits 210526315789473684 repeat forever), which is 0.92 rounded to 2 decimal places.

÷=0.9210526315789473684…

Change either number to try your own. The digits 210526315789473684 repeat. Rounded to 2 places: 0.92. In lowest terms: 35/38.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 35 by the bottom number 38.

    3538=35÷38\frac{35}{38} = 35 \div 38
  2. 2

    38 does not go into 35 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 38, and write the digit. A remainder comes back after 19 steps, so the digits 210526315789473684 repeat forever.

  4. 4

    The result is

    3538=0.9210526315789473684‾\frac{35}{38} = 0.9\overline{210526315789473684}
LaTeX source of the formulas on this page
\[ \frac{35}{38} = 0.9\overline{210526315789473684} \]
\[ \frac{35}{38} = 35 \div 38 \]

Long division of 35 by 38

StepRemainder × 10Divide by 38Remainder left
1350350 ÷ 38 = 98
28080 ÷ 38 = 24
34040 ÷ 38 = 12
42020 ÷ 38 = 020
5200200 ÷ 38 = 510
6100100 ÷ 38 = 224
7240240 ÷ 38 = 612
8120120 ÷ 38 = 36
96060 ÷ 38 = 122
10220220 ÷ 38 = 530
11300300 ÷ 38 = 734
12340340 ÷ 38 = 836

Questions

What is 35/38 as a decimal?

35/38 as a decimal is 0.9210526315789473684… (the digits 210526315789473684 repeat forever), which is 0.92 rounded to 2 decimal places.

Is 35/38 a terminating or a repeating decimal?

It repeats. The bottom number 38 = 2 × 19 has a prime factor other than 2 and 5, so the division never ends and the block 210526315789473684 (18 digits) repeats.

What is 35/38 as a percent?

35/38 is 92.105263157894736842…% as a percent.

How do I round 35/38 to 2 decimal places?

35/38 rounded to 2 decimal places is 0.92.

35/38 in the other form

Fractions with the bottom number 38

Fractions with the top number 35

    35/38 as a decimal: 0.9210526315789473684… (with steps) | WordGPT