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# Converting Decimals and Fractions

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by

Tweet## Rockwell Fransen

on 19 March 2013#### Transcript of Converting Decimals and Fractions

Here is another one: When converting/changing decimals to fractions, it usually helps to say the decimal. We are still not done though. We need to write the fraction in its lowest terms. How do we do that? Two more examples Convert the decimal 0.09 into a fraction. Converting Fractions to Decimals and Decimals to Fractions decimals to fractions fractions to decimals To convert a fraction into a decimal I need

to first make an equivalent fraction whose denominator is 100 (or 10 if that is possible). For example: in order to change the fraction into a decimal,

we need to first create an equivalent fraction with a

denominator of 100. and one more 9

20 3

5 _ 3

5 _ = _ 100 X 20 x 20 60 = 0.60 17

25 _ 68

100 _ = X4 X4 = 0.68 I say this as

"Zero and

sixty eight hundredths" - 45

100 - = = 0.45 We say"zero and

forty five hundredths". x5 x5 0.84 is pronounced "Zero and eighty four hundredths." When you say it, listen for the numerator (84) and the denominator (100) so... 0.84 is 84

100 _ We think about factors of the numerator and denominator and if they share any factors. 84

100 - Since these are both even numbers, 2 must be a factor of each. So now I think "how many groups of 2 are there in 84 and 100." There are 42 groups of 2 in 84 and 50 in 100

so... 84

100 = 42

50 - - ...but we're not done yet. 2 is a factor of both of these too so 21

25 - = First an easy 0ne Remember

to say it

using the

word "and"

for the

decimal

point. "Zero

and nine

hundredths". 9

100 - Now one a bit harder Convert 0.75 into a fraction in lowest terms. 75

100 _ = 15

25 _ = 3

4 _

Full transcriptto first make an equivalent fraction whose denominator is 100 (or 10 if that is possible). For example: in order to change the fraction into a decimal,

we need to first create an equivalent fraction with a

denominator of 100. and one more 9

20 3

5 _ 3

5 _ = _ 100 X 20 x 20 60 = 0.60 17

25 _ 68

100 _ = X4 X4 = 0.68 I say this as

"Zero and

sixty eight hundredths" - 45

100 - = = 0.45 We say"zero and

forty five hundredths". x5 x5 0.84 is pronounced "Zero and eighty four hundredths." When you say it, listen for the numerator (84) and the denominator (100) so... 0.84 is 84

100 _ We think about factors of the numerator and denominator and if they share any factors. 84

100 - Since these are both even numbers, 2 must be a factor of each. So now I think "how many groups of 2 are there in 84 and 100." There are 42 groups of 2 in 84 and 50 in 100

so... 84

100 = 42

50 - - ...but we're not done yet. 2 is a factor of both of these too so 21

25 - = First an easy 0ne Remember

to say it

using the

word "and"

for the

decimal

point. "Zero

and nine

hundredths". 9

100 - Now one a bit harder Convert 0.75 into a fraction in lowest terms. 75

100 _ = 15

25 _ = 3

4 _