Question

Fill the value of the expression 24 3/5 +4 ×(8 1/5-2)

Answer 1

first off, we'll convert the mixed fractions to "improper",


`\bf \stackrel{mixed}{24(3)/(5)}\implies \cfrac{24\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{123}{5}} \\\\\\ \stackrel{mixed}{8(1)/(5)}\implies \cfrac{8\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{41}{5}}`


`\bf 24(3)/(5)* \left( 8(1)/(5)-2 \right)\implies \cfrac{123}{5}\left( \cfrac{41}{5}-2 \right)\impliedby \mathbb{PEMDAS} \\\\\\ \cfrac{123}{5}\left( \cfrac{41-10}{5} \right)\implies \cfrac{123}{5}\left( \cfrac{31}{5} \right) \\\\\\ \cfrac{123\cdot 31}{5\cdot 5}\implies \cfrac{3813}{25}\implies 152(13)/(25)`