Question

In the park, Bryce hikes 4 1/2 mi and Jessie hikes 6 7/16 mi. How much farther does Jessie hike than Bryce? Express your answer as a mixed number in simplest form. Enter your answer in the box.

Answer 1

1 15/16 is the answer

Explanation:

I took the test and this was right!

Answer 2

is simply the difference of both amounts, but firstly let's convert the mixed fractions to improper, and subtract.

`\bf \stackrel{mixed}{4(1)/(2)}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \stackrel{mixed}{6(7)/(16)}\implies \cfrac{6\cdot 16+7}{16}\implies \stackrel{improper}{\cfrac{103}{16}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Jessie}{\cfrac{103}{16}}-\stackrel{Bryce}{\cfrac{9}{2}}\implies \stackrel{\textit{our LCD is 16}}{\cfrac{(1)103-(8)9}{16}}\implies \cfrac{103-72}{16}\implies \cfrac{31}{16}\implies 1(15)/(16)`