A biker cycles 9 miles in 2/3 of an hour.
a
Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3 hours, 3.5 hours

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

He rides 27 miles in two hours, 81/2 miles in 3 hours, and 189/4 in 3.5 hours.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A biker cycles 9 miles in 2/3 of an hour.

∴ He rides (9×3/2) is (2/3)×(3/2) hours.

He rides 27/2 miles in 1 hour.

So, He rides (27/2)×2 in 2 hours.

27 miles in 2 hours.

He rides (27/2)×3 miles in 3 hours.

81/2 miles in 3 hours.

He rides (27/2)×(7/2) miles in 7/2 hours.

189/4 miles in 7/2 hours.

learn more about fractions here :

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