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

Mathematics

2 answers:

slamgirl [31]2 years ago

4 0

Answer:2/2/5

Step-by-step 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

fgiga [73]2 years ago

3 0

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.

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

$\cfrac{9}{5x}=\cfrac{3}{4}\implies 36=15x\implies \cfrac{36}{15}=x\implies \cfrac{12}{5}=x\implies 2\frac{2}{5}=x$

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