Section 1- reducing fractions, Part to whole fractions, part to whole fractions Section 2 -mixed numbers, Division and reciprocals with fractions, multiplication with fractions Section 3- Adding and Subtracting with fractions

First you need to find a common factor Then divide the numerator and the denominator by the common factor

Hannah had 4 dogs and Madison Erb has 6 dogs. Hannah has 4 black dogs and Madison Erb has 6 black dogs What is the reduced fraction of Madison’s and Hannah’s dogs?

Hannah- 4 black dogs 4/10 total dogs 4/10 divided by 2 (numerator and denominator) to get 2/5 Madison Erb- 6 black dogs 6/10 total dogs 6/10 divided by 2 (both numerator and denominator) 3/5

 Fractions are part to whole because the denominator is the total. Also, is the same as a whole. The numerator is the part which is how many is out of the whole.

Section 2

To make a mixed number you need to take an improper fraction and make it to a mixed number in these steps. First you need to, for example take 9/5 and you look at denominator and you have to see how many times it goes into the numerator. In this case it’s only 1 time. So you know 1 is the whole number but you don’t know the numerator or denominator. So you have a remainder of 4 so that will be your numerator. And 5 will still be your denominator. Therefore your mixed number is 2 4/5

 Step 1. Multiply the numerators  Step 2. Multiply the denominators  Step 3. If needed simplify the fractions

 1/3 2/5 2/15 First I multiplied the numerators which came to 2. Then I multiplied the denominators which came to 15 Then I looked and I couldn’t reduce. 2/5 ½ 2/10 1/5 First I multiplied the numerators which is 2 Then I multiplied the denominators to 10 Then I looked to see if I could reduce which I can reduce to 1/5 ( 2)

 1\5 1/8 =  1/9 9/11  2\9 3\6 6/8 ½  1\6 9\11  5\6 2\9  2\9 9\12  4\6 5\9 4\14 9\16 6\8 6\9

1. Turn the 2 nd fraction upside down(how you do a reciprocal) 2. Multiply the fraction by the reciprocal 3. Simplify if possible 1/2 1/6 ½ 6/1 6/2 = 3

6/12 7/9= 8/9 5/8= 8/10 5/7= 9/12 9/16 = 8/9 3/6= 8/9 9/8= 8/13 7/9= 5/9 6/9=

Step 1. The bottom numbers (denominators) have to be the same Step2. Add the top numbers and put the answer over the same denominator Step 3. Simplify the fraction

½ + ¾= 9/11+ 2/4= 2/6 + ¾= 3/7+5/6= 8/7+8/9= 3/9+4/6=7/8+12/15= 1/9+ 4/5= 6/8+4/6= 9/13+2/5=

If Rihanna had 12 singles and 1 album and Pink had 14 singles and 2 albums how many albums and singles do they have together? 12/1 +14/1 = 26/2 First I added the singles (numerator) and the albums (denominator) to get 26 singles and 3 albums

 Step 1. Make the denominator the same.  Step 2. First subtract the numerators (put the answer over the same denominator.)  Step 3. If needed simplify the fraction.

 6/8-2/8=4/8 then simplify so 4/8 will change to ½  5/6-7/12  First get common denominators 10/12 -7/12  Next subtract the numerators 10/12 - 7/12=3/12  Then simplify 3/12=1/4

8/9-7/8=2/9-7/9= 14/18-9/18= 8/9-9/8= 6/12-4/8= 9/13-12/13=7/9-10/20= 8/23-5/12=

 Common denominators just means that the denominators in two or more fractions are common or the same.

 Start by listing multiples for each number  2:2,4,6,8,10,12,14…  4:4,8,12,16,20,24,28…  The common denominators would be 4,8,12 (and so on)