Question

What is the value of nine 2/3-4 1/5

Answer 1

let's firstly convert the mixed fraction to an improper fraction.

`\stackrel{mixed}{4(1)/(5)}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{3}-\cfrac{21}{5}\implies \cfrac{(5)2~~ - ~~(3)21}{\underset{\textit{using this LCD}}{15}}\implies \cfrac{10-63}{15}\implies \cfrac{-53}{15}\implies -3(8)/(15)`