Question

Evaluate 7 1/6- 3 5/8

Answer 1

let's firstly convert the mixed fractions to improper fractions and then subtract.

`\stackrel{mixed}{7(1)/(6)}\implies \cfrac{7\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{43}{6}} ~\hfill \stackrel{mixed}{3(5)/(8)}\implies \cfrac{3\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{29}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{43}{6}~~ - ~~\cfrac{29}{8}\implies \cfrac{(4)43~~ - ~~(3)29}{\underset{\textit{using this LCD}}{24}}\implies \cfrac{172~~ - ~~87}{24}\implies \cfrac{85}{24}\implies 3(13)/(24)`

Answer 2

3 13/24

Explanation:

hope this helps you!