Question

verify the associative law of multplication for the following fractions. 1/2×4/5×3/4​

Answer 1

Answer:

Associative Law :

( A x B ) x C = A x ( B x C )

Let,

$A = \frac{1}{2}$

$B = \frac{4}{5}$

$C = \frac{3}{4}$

Now,

( A x B ) x C

$= ( \frac{1}{2} \times \frac{4}{5}) \times \frac{3}{4}$

= $\frac{4}{10} \times \frac{3}{4}$

$= \frac{12}{40}$

$= \frac{3}{10}$

Now

A x ( B x C )

$\frac{1}{2} \times ( \frac{4}{5} \times \frac{3}{4} )$

= $\frac{1}{2} \times ( \frac{12}{20})$

$= \frac{12}{40}$

$= \frac{3}{10}$

$\frac{3}{10} = \frac{3}{10}$

( A x B ) x C = A x ( B x C )

Hence Associative Property Satisfied .

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