Question

Shannon walked \[4\dfrac{7}{8}\] miles and ran \[3\dfrac{1}{2}\] miles during the week. How much further did she walk than run?

Answer 1

Hint: In the given question Shannon walked \[4\dfrac{7}{8}\] miles and ran \[3\dfrac{1}{2}\] miles during the week.
We need to find that how much distance did Shannon further walked than ran;
For solving the given question we need to subtract the distance travelled while walking and the distance travelled while running during the week.

Complete step by step solution:
We know that,
Distance travelled by Shannon while walking =\[4\dfrac{7}{8}\]miles.
Distance travelled by Shannon while running =\[3\dfrac{1}{2}\]miles
This question is related to subtraction
We need to subtract the distance travelled by the Shannon while running from the distance travelled by the Shannon while walking during the week for finding how much did Shannon further walk than ran.
Then the distance that the Shannon did further walked than ran during the week becomes:
Distance=distance Shannon walked -distance Shannon ran
Distance Shannon walked=\[4\dfrac{7}{8}\]miles
Distance Shannon ran=\[3\dfrac{1}{2}\]miles
Distance that Shannon further walked than ran=(\[4\dfrac{7}{8}\]-\[3\dfrac{1}{2}\])miles
Shannon walked further than run=\[4\dfrac{7}{8}\]-\[3\dfrac{1}{2}\]miles

That is \[4\dfrac{7}{8}\]-\[3\dfrac{1}{2}\]
Split each mixed number into its whole numbers and fraction parts.
Here the whole parts are 4&3 and the fractional parts are \[\dfrac{7}{8}\]& \[\dfrac{1}{2}\] .
\[\Rightarrow \] (4 +\[\dfrac{7}{8}\]) –(3+\[\dfrac{1}{2}\])
\[\Rightarrow \]4 + \[\dfrac{7}{8}\] - 3 - \[\dfrac{1}{2}\]

\[\Rightarrow \] (4-3) + (\[\dfrac{7}{8}\] - \[\dfrac{1}{2}\])
\[\Rightarrow \] 1 +\[\left( \dfrac{3}{8} \right)\]
\[\Rightarrow \]\[1\dfrac{3}{8}\]
Thus ,Shannon walked \[1\dfrac{3}{8}\] miles further than she ran.
The distance walked by Shannon further than she ran during the week is \[1\dfrac{3}{8}\] miles.

Note: Students should know the concept subtraction of rational numbers,
For subtracting the rational numbers we need to split the mixed number into its whole number and rational number.
Subtract the whole number part and rational number part separately.