Add, Subtract, Multiply, and divide rational numbers.

Addition

1

Addition (Same Denominator):
3/7 + 2/7 =v?

5/7 or 3+2/7

2

Adding with Same Denominators

3/5 + 2/5 = ?

3+2/5 = 5/5 = 1

3

Adding with Different Denominators:

4/3 + 5/2 = ? 

23/6

4

(1/10 + 2/10 =

 3/10

5

Addition (Unlike Denominators):

- 1/2 + 1/3 = ?

- 3/6 + 2/6 = -3+2/6 = - 1/6

Subtraction

1

Subtraction (Different Denominators):

1/2 - 1/3 = ? 

3/6 - 2/6 = 2-3/6 = 1/6

2

• Method: Find a common denominator, then
• 3}{14} - {10}{14} = ]

{-3 - 10}{14} = - {13}{14}\)

3

{3 \times -2}{5 \times 7} =?

{6}{35}

4

• (0.9 - 0.5 =

0.4

5

• (3/4 - 1/4 =

1/2

Multiply

1

Basic Multiplication

2/3 x 4/5 = ?

2x4/3x5 = 8/15

2

(1/2) \times (1/2) =

1/4

3

• \(0.5 \times 0.2 =

0.1

4

(-3/4) \times (1/3) =

-1/4

5

(2/3) \times (3/4) =

1/2

Divide

1

Basic Division

1/2 ÷ 3/4 = ?

1/2 x 4/3 = 4/6 = 2/3

2

Multiply the first fraction by the reciprocal of the second ("Keep-Change-Flip"

{3}{4} \times {5}{2} = {3 \times 5}{4 \times 2} =?

{15}{8}\) or {7}{8}\)

3

(1/2) \div (1/2) =

1

4

• \((2/9) div (2/3) =

 1/3

5

(-2/3) \div (1/6) =

-4

Multiply or Divide Positive or Negative

1

Multiplication with Negatives:

-3/4 x 2/7 = ?

-3x2/4x7 = -6/28 = - 3/14

2

90 \div 10 =

9

3

• 50 div 5 =
• 
  

10

4

• \(24 \div 3 =

8

5

Dividing by a Negative: 

-5/8 ÷ 1/4 = ?

-5/8 x 4/1 = -20/-8 = -5/-2 or -2 1/2