Anonymous

# how do i convert a fraction to a decimal?

it is 49/121 i need to convert that to a decimal in Cm.

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Long division or a calculator.

121 ) 49

49/121 = 0.40495867768595041322314049586777

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• The easiest way is dividing 49 by 121 on the calculator.

Or, you can use long division and divide 49 by 121.

If you want to cheat check out my source below, it will do the work for you.

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• The first step is to divide 49 by 121.

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• Anonymous

Just take 49 and divide it by 121:

49/121=.405

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• Jim burne... had the answer, but i think you should round it to the the least number of places (49 has 2, 121 has 3, so the answer would be rounded to 2 places unless otherwise commanded. so the answer would be 0.40 cm. If i didn't know for sure I would ask the teacher right before i turned it in.

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• Note the following pattern for repeating decimals:

0.22222222... = 2/9

0.54545454... = 54/99

0.298298298... = 298/999

Division by 9's causes the repeating pattern.

Note the pattern if zeros preceed the repeating decimal:

0.022222222... = 2/90

0.00054545454... = 54/99000

0.00298298298... = 298/99900

To convert a decimal that begins with a non-repeating part, such as 0.21456456456456456..., to a fraction, write it as the sum of the non-repeating part and the repeating part.

0.21 + 0.00456456456456456...

Next, convert each of these decimals to fractions. The first decimal has a divisor of power ten. The second decimal (which repeats) is convirted according to the pattern given above.

21/100 + 456/99900

Now add these fraction by expressing both with a common divisor

20979/99900 + 456/99900

21435/99900

Finally simplify it to lowest terms

1429/6660

and check on your calculator or with long division.

= 0.2145645645...

Source(s): oh my own
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• Simply divide 49/121.

You can do it on your calculator to get .404958678..

Or use long division. :)

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• on calc, punch in 49, punch the division sign, punch in 121, punch = sign. There is your answer.

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