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47/66 as a decimal

47/66 as a decimal is 0.712121… (the digits 12 repeat forever), which is 0.71 rounded to 2 decimal places.

÷=0.712121…

Change either number to try your own. The digits 12 repeat. Rounded to 2 places: 0.71. In lowest terms: 47/66.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 47 by the bottom number 66.

    4766=47÷66\frac{47}{66} = 47 \div 66
  2. 2

    66 does not go into 47 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 66, and write the digit. A remainder comes back after 3 steps, so the digits 12 repeat forever.

  4. 4

    The result is

    4766=0.712‾\frac{47}{66} = 0.7\overline{12}
LaTeX source of the formulas on this page
\[ \frac{47}{66} = 0.7\overline{12} \]
\[ \frac{47}{66} = 47 \div 66 \]

Long division of 47 by 66

StepRemainder × 10Divide by 66Remainder left
1470470 ÷ 66 = 78
28080 ÷ 66 = 114
3140140 ÷ 66 = 28

Questions

What is 47/66 as a decimal?

47/66 as a decimal is 0.712121… (the digits 12 repeat forever), which is 0.71 rounded to 2 decimal places.

Is 47/66 a terminating or a repeating decimal?

It repeats. The bottom number 66 = 2 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 12 (2 digits) repeats.

What is 47/66 as a percent?

47/66 is 71.212121…% as a percent.

How do I round 47/66 to 2 decimal places?

47/66 rounded to 2 decimal places is 0.71.

47/66 in the other form

Fractions with the bottom number 66

Fractions with the top number 47

    47/66 as a decimal: 0.712121… (with steps) | WordGPT