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1/74 as a decimal

1/74 as a decimal is 0.013513… (the digits 135 repeat forever), which is 0.01 rounded to 2 decimal places.

÷=0.013513…

Change either number to try your own. The digits 135 repeat. Rounded to 2 places: 0.01. In lowest terms: 1/74.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 1 by the bottom number 74.

    174=1÷74\frac{1}{74} = 1 \div 74
  2. 2

    74 does not go into 1 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 74, and write the digit. A remainder comes back after 4 steps, so the digits 135 repeat forever.

  4. 4

    The result is

    174=0.0135‾\frac{1}{74} = 0.0\overline{135}
LaTeX source of the formulas on this page
\[ \frac{1}{74} = 0.0\overline{135} \]
\[ \frac{1}{74} = 1 \div 74 \]

Long division of 1 by 74

StepRemainder × 10Divide by 74Remainder left
11010 ÷ 74 = 010
2100100 ÷ 74 = 126
3260260 ÷ 74 = 338
4380380 ÷ 74 = 510

Questions

What is 1/74 as a decimal?

1/74 as a decimal is 0.013513… (the digits 135 repeat forever), which is 0.01 rounded to 2 decimal places.

Is 1/74 a terminating or a repeating decimal?

It repeats. The bottom number 74 = 2 × 37 has a prime factor other than 2 and 5, so the division never ends and the block 135 (3 digits) repeats.

What is 1/74 as a percent?

1/74 is 1.351351…% as a percent.

How do I round 1/74 to 2 decimal places?

1/74 rounded to 2 decimal places is 0.01.

1/74 in the other form

Fractions with the bottom number 74

Fractions with the top number 1

    1/74 as a decimal: 0.013513… (with steps) | WordGPT