Name: thomas

Who is asking: Student
Level: Middle

Question: how to change decimal to a fraction in the lowest terms .7 .65 .019 .0111 .225 .1225 .625 .25 .025 .26 .875 .5 .75 .750 .33 .09 .44 .15 .12 .90 .044 .2500 .95 .500 .02 .40 .125 .1276 .00009 .45 .125 .1276 .375 .975 .054 .0005 .20 .2 .0001 .85 .80 .9 .0007 9.8 10.17 25.75 48.4 80.35 19.64 276.20 31.042 18.1034

Hi Thomas,

I'll do a couple for you to get you started.

First 0.65

0.65 = 0.6 + 0.05 = 6/10 + 5/100 = 60/100+ 5/100 = 65/100

Thus 0.65 = 65/100

Notice that 5 divides 65 and 5 divides 100 so

0.65 = 65/100 = 13/20

13 and 20 have no common factors except 1 so in lowest terms

0.65 = 13/20

Next 0.125

As before 0.125 = 125/1000. Again 5 divides the numerator and denominator, so

0.125 = 125/1000 = 25/200. We can see that the numerator and denominator are both divisible by 25 so we get

0.125 = 25/200 = 1/8

Now you try the rest.
Penny
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