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Nina is bouncing on a trampoline. Her fourth bounce is 6 feet high. Each bounce afterwards is two-thirds as high as the bounce before it. How high will her sixth bounce on the trampoline be?

Verified Answer :

4th bounce= 6
5th bounce
6 x 2/3 = 4
6th bounce
4 x 2/3 = 2.67 feet high or 2.6 recurring feet

taskmasters

Sixth bounce will be 2 2/3 feet high.

4th bounce = 6 ft
5th bounce = 2/3 of 6 ft
6th bounce = 2/3 of 2/3 of 6 ft.

6 2/3 2/3 = 0

Steps in multiplying fractions.
Step 1. Multiply the numerators : 6 2 2 = 24
Step 2. Multiply the denominators : 1 3 3 = 9
Step 3. Simplify the fraction.
 24/9 = 2 6/9 = 2 2/3 feet

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