Adding Rational Numbers

Integer Addition

100

-2+7

5

200

−7+5

-2

300

12+(−9)

3

400

−3+(−8)

-11

500

−10+7+(−2)

-5

Mixed Fractions to Improper Fractions

100

1(2/3)

5/3

200

3(4/5)

19/5

300

5(1/2)

11/2

400

2(6/7)

20/7

500

10(1/7)

71/7

Adding Fractions

100

(1/3)+(2/5)

11/15

200

2/3+1/4

11/12

300

9/10+1/2

14/10=7/5=1(2/5)

400

10/3+6/9

36/9=4

500

12/5+10/2

74/10=37/5=7(2/5)

Adding Rationals

100

(5/7)+(1/7)

(6/7)

200

-3.6+5.2

1.6

300

-2.35+(-1.65)

-4

400

1/4+2(1/3)

31/12=2(7/12)

500

3(1/2)+2.5

6

Word problems

100

Sarah has 2 (1/4) cups of flour. She adds 3/4 cup more for her recipe. How much flour does she have in total?

3 cups of flour

200

Tom ran 3.5 kilometers on Monday and 2.75 kilometers on Tuesday. What was the total distance he ran over these two days?

6.25 km

300

In a science experiment, a student measured 0.75 liters of one solution and 1.25 liters of another. When combined, what is the total volume of the mixture?

2 L

400

A carpenter cuts a board into three pieces. The first piece is 3/8 feet long, the second is 1 (1/6) feet long, and the third is 2 (1/2) feet long. What is the total length of the original board?

97/24=4(1/24)

500

A recipe calls for 1 (2/3) cups of sugar, 2(1/2) cups of black sugar and 3/4 cup of brown sugar. How many cups of sugar are needed in total?

59/12=4(11/12)