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30/67 as a decimal

30/67 as a decimal is 0.447761194029850746268656716417910… (the digits 447761194029850746268656716417910 repeat forever), which is 0.45 rounded to 2 decimal places.

÷=0.447761194029850746268656716417910…

Change either number to try your own. The digits 447761194029850746268656716417910 repeat. Rounded to 2 places: 0.45. In lowest terms: 30/67.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 30 by the bottom number 67.

    3067=30÷67\frac{30}{67} = 30 \div 67
  2. 2

    67 does not go into 30 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 67, and write the digit. A remainder comes back after 33 steps, so the digits 447761194029850746268656716417910 repeat forever.

  4. 4

    The result is

    3067=0.447761194029850746268656716417910‾\frac{30}{67} = 0.\overline{447761194029850746268656716417910}
LaTeX source of the formulas on this page
\[ \frac{30}{67} = 0.\overline{447761194029850746268656716417910} \]
\[ \frac{30}{67} = 30 \div 67 \]

Long division of 30 by 67

StepRemainder × 10Divide by 67Remainder left
1300300 ÷ 67 = 432
2320320 ÷ 67 = 452
3520520 ÷ 67 = 751
4510510 ÷ 67 = 741
5410410 ÷ 67 = 68
68080 ÷ 67 = 113
7130130 ÷ 67 = 163
8630630 ÷ 67 = 927
9270270 ÷ 67 = 42
102020 ÷ 67 = 020
11200200 ÷ 67 = 266
12660660 ÷ 67 = 957

Questions

What is 30/67 as a decimal?

30/67 as a decimal is 0.447761194029850746268656716417910… (the digits 447761194029850746268656716417910 repeat forever), which is 0.45 rounded to 2 decimal places.

Is 30/67 a terminating or a repeating decimal?

It repeats. The bottom number 67 = 67 has a prime factor other than 2 and 5, so the division never ends and the block 447761194029850746268656716417910 (33 digits) repeats.

What is 30/67 as a percent?

30/67 is 44.776119402985074626865671641791044…% as a percent.

How do I round 30/67 to 2 decimal places?

30/67 rounded to 2 decimal places is 0.45.

30/67 in the other form

Fractions with the bottom number 67

Fractions with the top number 30

    30/67 as a decimal: 0.447761194029850746268656716417910… (with steps) | WordGPT