ok so i have .25 which is equivalent to 25 over 100 and you simplify that fraction which equals 1 over 4 can somebody please help me clarify how to reduce fractions to the lowest possible fraction? im not understanding
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To reduce a fraction, divide both the numerator and denominator by the same number:
25/100
(divide by 5):
5/20
(again divide by 5):
1/4
25/100
(divide by 5):
5/20
(again divide by 5):
1/4
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Ok so you have 25/100. You have to get a common factor between 25 and 100. It's best to try and get the greatest possible number to use because you'll do less work. Here the greatest common factor is 25. So when you divide 25 by 25 you get 1. When you divide 100 by 25 you get 4. So that's how you get 1/4. If you chose a different common factor like 5 you would get 5/20. Then you would have to divide by 5 again to get 1/4. So basically you're dividing so numbers that can be divided by the denominator and the numerator, they MUST be visible on the bottom and the top. Remember not all fractions can be reduced, they must have a common factor, it not it's fully simplified.
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the largest whole number you can divide both the numerator and denominator by. hopefully it will be the numerator itself so you will be left with 1 on top.
for example 13/78. divide 78 by 13 and you get 6. dividing 13 by itself gives you 1. so the reduced fraction is 1/6.
now take say 8/36. 36 isn't divisible by 8, but both are divisible by 4. so that leaves you with 2/9. 9 and 2 don't have a common factor that is a whole number so 2/9 is as reduced as it will get. look at a carpenters measuring tape to help you with the concept.
for example 13/78. divide 78 by 13 and you get 6. dividing 13 by itself gives you 1. so the reduced fraction is 1/6.
now take say 8/36. 36 isn't divisible by 8, but both are divisible by 4. so that leaves you with 2/9. 9 and 2 don't have a common factor that is a whole number so 2/9 is as reduced as it will get. look at a carpenters measuring tape to help you with the concept.
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You have to find the largest common factor of both the numerator and denominator. So in, let's say, 12 over 14, the only common factor (excluding 1) is 2. So you divide both the numerator and denominator by 2.
Same with 15 over 35. The largest common factor is 5, so you divide both 15 and 35 by 5 and get 3 over 7.
Same with 15 over 35. The largest common factor is 5, so you divide both 15 and 35 by 5 and get 3 over 7.