Question

simplify (48/12 )*((9/8)of((4/3)/(3/4))of(2/3))

Answer 1

GIVEN :

The expression is $\frac{48}{12}\times ((\frac{9}{8})(\frac{\frac{4}{3}}{\frac{3}{4}})(\frac{2}{3}))$

TO SIMPLIFY :

The given expression into its simplest form.

SOLUTION :

Convert the given expression into simplest form as below .

$\frac{48}{12}\times ((\frac{9}{8})(\frac{\frac{4}{3}}{\frac{3}{4}})(\frac{2}{3}))$

By using the property of the fractions:

$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{48}{12}\times (\frac{9}{8})((\frac{4}{3})\times (\frac{4}{3}))(\frac{2}{3})$

Cancelling the common terms and simplify

$=4\times (\frac{1}{2})(4)(\frac{2}{3})$  

$=4\times (4)(\frac{1}{3})$

Multiply the resulting terms

$=\frac{16}{3}$

∴ $\frac{48}{12}\times ((\frac{9}{8})(\frac{\frac{4}{3}}{\frac{3}{4}})(\frac{2}{3}))=\frac{16}{3}$

Therefore the simplest form for the given expression is $\frac{16}{3}$

The simplified expression to the given expression $\frac{48}{12}\times ((\frac{9}{8})(\frac{\frac{4}{3}}{\frac{3}{4}})(\frac{2}{3}))$ is $\frac{16}{3}$

Answer 2

Answer:

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