Rational Number Arithmetic

Dividing Rational

100

3/4 / ? = -1

-3/4

200

15 / 0 =?

Undefined

300

10/3 / 3/1 /10 = ?

10/3 * 1/3 /10 = 10/6 * 1/10 = 1/6

400

-15/10 / -15/15 =?

15/10

500

How do you divide two rational number? 

4/3 + 5/3 * 2 / 1/2 =?

a/b / c/d = ad/bc

4/3 + 20/3 = 24/3 = 8

Multiplying Rational

100

10 * 1 =?

10

200

5/3 * -12 = ?

-60/3 = -20

300

-15/3 + 3/3*3/2

15/3 + 9/6 = -20 + 9 / 6 = -11/6

400

10 * 6 * (-4) = ?

-240

500

(-10/5) / (1/2) * (-2) =?

-10/5 * 2/1 *-2 = 40/5 = 8 

Additional Rational

100

5/2  + 1/2 = ?

3

200

5/3 + ? = 1

-2/3

300

5/3 + -1/3 + 2/3 =?

2

400

-10/2 + - 2/2 + ? = 1

14/2

500

-5/3 + 5/3 + -10/2 + 2/4 +3/6 =?

0 + -10/2 + 1/2 + 1/2 = -10+2/2 = -8/2 = -4

Subtracting Rational

100

-1/1 - ? = 0

-1

200

5/4 - -1/4 =?

6/4 = 3/2

300

2/3 - 2/6 - -3

2/3 + 1/3 + 3 = 4

400

1/2 - 4/2 - -2/2 - 2/2 =?

1-4+2-2/2= -3/2

500

(-10/4) - (-4/10) - (-5/10) - (1/10) - (-8/4) = ?

-10/4 + 4/10 + 5/10 - 1/10 +8/4 = -2/4 + 8/10

-1/2 + 4/5 = -5/10 + 8/10 = 3/10