Question

A man purchases a plot of land that is 1 4/5 acre.

This represents 3/4 of the land he owns.
How much land does he own?

Answer 1

a whole is always fraction wise "1", whether is 5/5 or 4/4 or 1,000,000/1,000,000 it'd round up to "1", just 1 whole.

we know how much 3/4 of his land is, so the "whole land" will be in quarters, 4/4 or namely "1".

let's firstly convert the mixed fraction to improper fraction and then proceed.

`\stackrel{mixed}{1(4)/(5)}\implies \cfrac{1\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{9}{5}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} acres&whole\\ \cline{1-2} (9)/(5)&(3)/(4)\\[1em] x&(4)/(4) \end{array}\implies \cfrac{~~(9)/(5) ~~}{x}=\cfrac{~~ (3)/(4)~~}{(4)/(4)}\implies \cfrac{~~(9)/(5) ~~}{(x)/(1)}=\cfrac{~~ (3)/(4)~~}{1}\implies \cfrac{9}{5}\cdot \cfrac{1}{x}=\cfrac{3}{4}`

`\cfrac{9}{5x}=\cfrac{3}{4}\implies 36=15x\implies \cfrac{36}{15}=x\implies \cfrac{12}{5}=x\implies 2(2)/(5)=x`

Answer 2

Answer:2/2/5

Explanation:
If 3/4 = 9/5
what about 4/4
You get the answer as 12/5 which is 2/2/5

Hope this helped