Question

Kwamina had some mangoes, he gave 1/5 of the mangoes to kusi, 1/3 to janet and kept the rest.find the fraction of mangoes he... a. gave to kusi and janet b. kept for himself

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Answer 1

let's keep in mind that a whole always simplifies to 1, so if we'd like to split it in 7th, then 7/7 is a whole, if we split it in 29th, then 29/29 is a whole and so on.

`\boxed{a}\\\\ \stackrel{\textit{to Kusi}}{\cfrac{1}{5}}~~ + ~~\stackrel{\textit{to Janet}}{\cfrac{1}{3}}\implies \cfrac{(3)1~~ + ~~(5)1}{\underset{\textit{using this LCD}}{15}}\implies \cfrac{8}{15} \\\\[-0.35em] ~\dotfill\\\\ \boxed{b}\\\\ \stackrel{whole}{\text{\LARGE 1}}-\cfrac{8}{15}\implies \stackrel{ whole }{\cfrac{15}{15}}-\cfrac{8}{15}\implies \cfrac{15-8}{15}\implies \cfrac{7}{15}`