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16/37 as a decimal

16/37 as a decimal is 0.432432… (the digits 432 repeat forever), which is 0.43 rounded to 2 decimal places.

÷=0.432432…

Change either number to try your own. The digits 432 repeat. Rounded to 2 places: 0.43. In lowest terms: 16/37.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 16 by the bottom number 37.

    1637=16÷37\frac{16}{37} = 16 \div 37
  2. 2

    37 does not go into 16 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 37, and write the digit. A remainder comes back after 3 steps, so the digits 432 repeat forever.

  4. 4

    The result is

    1637=0.432‾\frac{16}{37} = 0.\overline{432}
LaTeX source of the formulas on this page
\[ \frac{16}{37} = 0.\overline{432} \]
\[ \frac{16}{37} = 16 \div 37 \]

Long division of 16 by 37

StepRemainder × 10Divide by 37Remainder left
1160160 ÷ 37 = 412
2120120 ÷ 37 = 39
39090 ÷ 37 = 216

Questions

What is 16/37 as a decimal?

16/37 as a decimal is 0.432432… (the digits 432 repeat forever), which is 0.43 rounded to 2 decimal places.

Is 16/37 a terminating or a repeating decimal?

It repeats. The bottom number 37 = 37 has a prime factor other than 2 and 5, so the division never ends and the block 432 (3 digits) repeats.

What is 16/37 as a percent?

16/37 is 43.243243…% as a percent.

How do I round 16/37 to 2 decimal places?

16/37 rounded to 2 decimal places is 0.43.

16/37 in the other form

Fractions with the bottom number 37

Fractions with the top number 16

    16/37 as a decimal: 0.432432… (with steps) | WordGPT