# Shannon walked 4 7/8 miles and ran 3 1/2 miles during the week how much further did she walk than run?

Nov 2, 2016

$1 \frac{3}{8} \text{ miles}$

#### Explanation:

This is a subtraction question.

That is $4 \frac{7}{8} - 3 \frac{1}{2}$

'split' each $\textcolor{b l u e}{\text{mixed number}}$ into it's whole number and fraction parts.

$= 4 + \frac{7}{8} - \left(3 + \frac{1}{2}\right) = 4 + \frac{7}{8} - 3 - \frac{1}{2}$

combine the whole numbers and fractions.

$\Rightarrow \left(4 - 3\right) + \left(\frac{7}{8} - \frac{1}{2}\right) = 1 + \left(\frac{7}{8} - \frac{4}{8}\right) = 1 + \frac{3}{8}$

$= 1 \frac{3}{8}$

Thus, Shannon walked $1 \frac{3}{8} \text{ miles}$ further than she ran.