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16/45 as a decimal

16/45 as a decimal is 0.355555… (the digits 5 repeat forever), which is 0.36 rounded to 2 decimal places.

÷=0.355555…

Change either number to try your own. The digits 5 repeat. Rounded to 2 places: 0.36. In lowest terms: 16/45.

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 45.

    1645=16÷45\frac{16}{45} = 16 \div 45
  2. 2

    45 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 45, and write the digit. A remainder comes back after 2 steps, so the digits 5 repeat forever.

  4. 4

    The result is

    1645=0.35‾\frac{16}{45} = 0.3\overline{5}
LaTeX source of the formulas on this page
\[ \frac{16}{45} = 0.3\overline{5} \]
\[ \frac{16}{45} = 16 \div 45 \]

Long division of 16 by 45

StepRemainder × 10Divide by 45Remainder left
1160160 ÷ 45 = 325
2250250 ÷ 45 = 525

Questions

What is 16/45 as a decimal?

16/45 as a decimal is 0.355555… (the digits 5 repeat forever), which is 0.36 rounded to 2 decimal places.

Is 16/45 a terminating or a repeating decimal?

It repeats. The bottom number 45 = 3 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 5 (1 digit) repeats.

What is 16/45 as a percent?

16/45 is 35.555555…% as a percent.

How do I round 16/45 to 2 decimal places?

16/45 rounded to 2 decimal places is 0.36.

16/45 in the other form

Fractions with the bottom number 45

Fractions with the top number 16

    16/45 as a decimal: 0.355555… (with steps) | WordGPT