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

Solution:

Given the fraction, Rachel R, hiked is;

$\begin{gathered} R=\frac{2}{5} \\ \\ \text{ Multiply numerator and denominator by 2;} \\ \\ R=\frac{2\times2}{5\times2} \\ \\ R=\frac{4}{10} \end{gathered}$

Also, the fraction, Tim T, hiked is;

$\frac{7}{10}$

It shows that Tim hiked more than Rachel.

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

$\begin{gathered} \frac{7}{10}-\frac{4}{10}=\frac{7-4}{10} \\ \\ =\frac{3}{10} \end{gathered}$

CORRECT OPTION: (B) about 1/4 more