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write each of the following decimals as a fraction in its simplest form.

(a) 0.016

(b) 12.5




and please explain how you get the answer

2007-03-21 21:45:28 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

i can;t find it anywhere in my son's textbook . he's having a hard time doing this and i don't even know how to do it myself.he's in the 7th grade not 8 grade

2007-03-21 21:51:05 · update #1

7 answers

A) 0.016 is read as "Sixteen thousandths"
Therefore, you have 16/1000. Simplifying this, you get 8/500, 4/250, 2/125. So 2/125 is your answer.

B) You have 12.5. This is the same as "twelve and a half." The fractional equivalent for .5 is 1/2. So, the answer would be 12 1/2.

Another approach is to multiply 12.5 by 10/10 to get rid of the decimal and as a fraction. You will get 125/10. Now, you have an improper fraction that simplifies to 12 5/10 or 12 1/2.

2007-03-21 21:56:40 · answer #1 · answered by lamb.chops 2 · 0 0

(a) 0.016
= 16/1000
= 2/125

(b) 12.5
= 12 5/10
= 12 1/2 you can stop here or...
= [(2 * 12) + 1]/2
= 25/2

the trick to decimals is to watch how many decimal places after the decimal point.
thus
0.3 is three-tenths or 3/10;
0.45 is forty-five hundredths or 45/100 or 9/20;
0.625 is six hundred twenty-five thousandths or 625/1000 or 5/8;
and so on.
good luck

2007-03-22 06:31:35 · answer #2 · answered by rooster1981 4 · 0 0

(a) 0.016 = 16/1000 = 2/25

(b) 12.5 = 125/10 = 25/2

For converting decimal figure in to simple fraction , remove decimal and devide the figure with 10/100/ 1000 depending on the number of digits on right side of the decimal then simplify the fraction until it is divisable.

2007-03-22 05:08:16 · answer #3 · answered by diamond 3 · 0 0

for (a) 16/1000
if you divide 16 by 1000, you´ll get exactly 0.016.

(b) 12 and 1/2 or 25/2
1/2 is equal to 0.5
12 and 1/2 is a mixed fraction because you have a whole number and a fraction, so to make it simple,
12 1/2, you need to multiply 12by2, 12x2=25 plus the numerator 1 will be equal to 25, then carry over the denominator then you´ll have 25/2 equal to 12.5

2007-03-22 05:02:31 · answer #4 · answered by (sinner*saint) 2 · 0 0

0.016 = 16/1000
= 2/250
= 1/125

12.5 = 12 5/10
= 12 1/2

2007-03-22 04:50:31 · answer #5 · answered by Anonymous · 0 0

well all decimals are already in a fraction form when you are remember they are just sums of powers of 10. for example .016 = 16/1000. now reduce.12.5 = 125/10.

2007-03-22 04:57:37 · answer #6 · answered by Anonymous · 0 0

Check the 8th grade textbook

2007-03-22 04:48:21 · answer #7 · answered by Drools over home made food 6 · 0 0

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