**FractionsssssSSSSssssSSSS**

Converting mixed numbers

To convert mixed numbers and improper fractions you need to know how to multiply. Say you have 1 4/10 and you want to convert that to an improper fraction. You multiply the denominator by the whole number and add it to the numerator. The answer is your numerator and the denominator doesn't change. If you want to convert 14/10 back to a mixed number divide the numerator by the denominator and that is your whole number. If you have a remainder that is the numerator. Once again the denominator stays the same.

1 22/28 = 50/28

77/25 = 3 2/25

30/24 = 1 6/24 or 1 1/4 (reduce)

Dividing mixed numbers is basically the same as subtracting, adding, and multiplying them. You just divide them seperately and add them to the quotient.

2 6/7 / 1/ 1/5=2 30/7

4 9/10 / 2 1/4=2 36/10

2 7/8 / 2 1/2=1 14/8

Multiplying fractions

Multiplying fractions is pretty easy. All you have to do is multiply the numerator and the denominator. Say you have 1/3*2/8. 1*2 is 2 and 3*8 is 24 so the answer is 2/24.

3/7*1/2=3/14

3/4*6/7=18/28 or 9/14

8/9*8/9=64/81

Equivalent Fractions

Equivalent fractions are fractions that have the same value. Like 1/2 and 2/4. Equivalent fractions don't always have the same numerator and denominator. Sometimes you have to reduce like 2/4 = 1/2 because when you reduce 2/4 it equals 1/2.

1/2 = 100000/200000

3/7 = 6/14

1/1 = 27/27

Reducing Fractions

To reduce a fraction you try to make the numerator and the denominator smaller by dividing them with the same number. For example 2/4 can be reduced to ½ by dividing the numerator and denominator by 2. Some fractions can not be reduced like 3/10 because the don’t have any common multiples.

25/100 = 1/4

10/20 = 1/2

12/21 = 4/7

Adding and subtracting fractions

To add and subtract fractions you need to use equivalent fractions. Say you have 1/4 + 2/10. You need to fist make the denominators the same by multiplying. So 4*5=20 and 10*2=20 so now you have 1/20 +2/20. But wait. You also need to multiply the numerators. For 1/4 we multiplied 4*5 so we also need to multiply 1*5=5 so we have 5/20. Now we do the same thing with the other fraction. 2*2=4 so the problem is 5/20+4/20=9/20. It's the same for subtracting fractions. You make the fractions equal and then subtract.

2/5+4/10=8/10

8/16-1/4=4/16 or 1/4

5/100+2/10=25/100 or 1/4

Multiplying mixed numbers

Multiplying mixed numbers is like subtracting and adding them. You just multiply the whole numbers separately and add them to the product of the fractions.

2 1/2*2 3/4=4 3/8

2 5/6*3 2/5=6 10/30 or 1/3

1 5/9*3/5=1 15/45 or 1/3

Adding and subtracting mixed numbers.

Adding and subtracting mixed numbers is almost exactly the same as adding and subtracting fractions. You just ignore the whole number(s) until the end. Then you just separately add or subtract those numbers and add them to your total.

1 2/4+3 2/8=4 6/8 or 4 3/4

2 8/10-1 2/20=1 7/10

1 8/9-1=8/9

Dividing fractions is kind'a complicated. First we need to create a hypothetical problem. How 'bout 8/9 / 1/2. First we switch the numerator and denominator of the divisor and then we use our new skill of multiplying fractions and do 8*2=16 and 9*1=9 so the answer is 16/9.

1/4 / 5/7=7/20

2/3 / 8/12 = 24/24 or 1

5/6 / 1/3=15/6 or 5/2