Question

Rachel hiked 2/5of a trail. Tim hiked 7/10 of the trail.Use benchmark fractions to estimate how much more of the trail Tim hiked than Rachelthe question choses are a. About the same b. about 1/4 more c.about 1/2 more d. about 3/4 more

Answer 1

Given the fraction, Rachel R, hiked is;

`\begin{gathered} R=(2)/(5) \\ \\ \text{ Multiply numerator and denominator by 2;} \\ \\ R=(2*2)/(5*2) \\ \\ R=(4)/(10) \end{gathered}`

Also, the fraction, Tim T, hiked is;

`(7)/(10)`

It shows that Tim hiked more than Rachel.

Now, we would estimate how much more of the trail Tim hiked than Rachel;

`\begin{gathered} (7)/(10)-(4)/(10)=(7-4)/(10) \\ \\ =(3)/(10) \end{gathered}`

CORRECT OPTION: (B) about 1/4 more