Adding and Subtracting Fractions/ Mixed Numbers

Adding Fractions

100

5/12 + 2/12 + 3/12 = 

10/12

200

3/2 + 4/2 =

7/2

300

5/12 + ? = 8/12

3/12

400

Anu has  4/6  meter of wire. She buys  3/6  meter more. How much wire does Anu have now?

 7/6  meter

500

Owen is checking a population of butterflies for a unique marking on their wings. In one day, he studies  4/5  of the population in the morning and  1/5  of the population in the afternoon. How much of the population did of butterflies did he study in one day?

 5/5  or the whole population

Adding Mixed Numbers

100

1 2/5 + 2 2/5 = 

3 4/5

200

1 6/12 + 1 4/12 = 

2 10/12

300

4 3/5 + 3 2/5 =

8

400

Emily ate  2 1/4  cups of soup for lunch. Emily's father ate  1 1/4  cups of soup more than Emily. How many cups of soup did Emily's father eat? 

 3 2/4  cups

500

Jane jogs  2 1/3  miles to the park. She jogs another 1 2/3  miles to meet a friend. How many miles did Jane jog? 

 4  miles

Subtracting Fractions

100

3/4 - 1/4 = 

2/4

200

6/8 - 2/8 = 

4/8

300

Henry's home is

 7/8 

 mile from school. He stops at the library on his way home. The library is

 4/8 

 mile from the school. How much farther does Henry need to travel to get home? 

 3/8  mile

400

A tank was  7/12  full of water. Camryn drained  5/12  of the tank. How much of the tank is still filled with water? 

 2/12  filled

500

Mrs. Timper says the difference of  12/7  and  5/7  is  7/0 . What would you tell Mrs. Timper? Is she right or wrong? 

She is WRONG. The correct answer is  7/7 7/7 or 1 whole. Mrs. Timper subtracted the denominator when she was not supposed to. 

Subtracting Mixed Numbers

100

3 2/3 - 2 1/3

1 1/3

200

4 2/1 - 3 3/4 = 

3/4

300

3 - 4/5

2 1/5

400

4 10/16 - 2 3/16

2 7/16

500

A rug is  9 5/12 feet long and  6 1/12 feet wide. How many feet longer is the length than the width? 

 3 4/12 feet

Convert a Mixed Number to a Number Greater Than One

100

Convert the following from a mixed number to a number greater than one .....

3 2/7

23/7

200

Convert the following from a mixed number to a number greater than one .....

6 5/10

65/10

300

Convert the following from a mixed number to a number greater than one .....

 4 2/7 

30/7

400

Convert the following from a mixed number to a number greater than one .....

 12 2/3 

 38/3 

500

What strategy do we use to convert a mixed number into a number greater than one? (an improper fraction)

What does each of the letters mean?

Make it M.A.D

M - Multiply

A - Add

D - Denominator (stays the SAME)