Starting at 0, a frog makes the blue jump of 5/6 to the right and then the orange jump of -4/3 (to the left), as shown. Each unit is cut into 12 equal parts. Where does the frog land?

Question

Accepted Answer

-1/2. 5/6 + -4/3 = 10/12 + -16/12 = -6/12 = -1/2 : 10 parts right, then 16 parts left, ending 6 parts left of 0. (Adding tops and bottoms gives 1/9 ; making both jumps go left gives -13/6 .)

Starting at 0, a frog makes the blue jump of $\frac{5}{6}$ to the right and then the orange jump of $\frac{- 4}{3}$ (to the left), as shown. Each unit is cut into 12 equal parts. Where does the frog land?

Step-by-Step Solution

Key idea: Rationals on the number line

Master this chapter in 30 minutes a day.

More Class 8 Rational Numbers practice

Starting at 0, a frog makes the blue jump of 65​ to the right and then the orange jump of 3−4​ (to the left), as shown. Each unit is cut into 12 equal parts. Where does the frog land?

Step-by-Step Solution

Key idea: Rationals on the number line

Master this chapter in 30 minutes a day.

More Class 8 Rational Numbers practice

Starting at 0, a frog makes the blue jump of $\frac{5}{6}$ to the right and then the orange jump of $\frac{- 4}{3}$ (to the left), as shown. Each unit is cut into 12 equal parts. Where does the frog land?