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4/9 as a decimal

4/9 as a decimal is 0.444444… (the digits 4 repeat forever), which is 0.44 rounded to 2 decimal places.

÷=0.444444…

Change either number to try your own. The digits 4 repeat. Rounded to 2 places: 0.44. In lowest terms: 4/9.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 4 by the bottom number 9.

    49=4÷9\frac{4}{9} = 4 \div 9
  2. 2

    9 does not go into 4 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 9, and write the digit. A remainder comes back after 1 step, so the digits 4 repeat forever.

  4. 4

    The result is

    49=0.4‾\frac{4}{9} = 0.\overline{4}
LaTeX source of the formulas on this page
\[ \frac{4}{9} = 0.\overline{4} \]
\[ \frac{4}{9} = 4 \div 9 \]

Long division of 4 by 9

StepRemainder × 10Divide by 9Remainder left
14040 ÷ 9 = 44

Questions

What is 4/9 as a decimal?

4/9 as a decimal is 0.444444… (the digits 4 repeat forever), which is 0.44 rounded to 2 decimal places.

Is 4/9 a terminating or a repeating decimal?

It repeats. The bottom number 9 = 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 4 (1 digit) repeats.

What is 4/9 as a percent?

4/9 is 44.444444…% as a percent.

How do I round 4/9 to 2 decimal places?

4/9 rounded to 2 decimal places is 0.44.

4/9 in the other form

Fractions with the bottom number 9

Fractions with the top number 4

    4/9 as a decimal: 0.444444… (with steps) | WordGPT