Question

Find using distributivity. {9/16×4/12}+{9/16×-3/9}​

Answer 1

Answer:

(9/16 x 4/12) + (9/16 x -3/9)

= 9/16(4/12 - 3/9) (Using distributive property of multiplication over addition)

= 9/16(1/3 - 1/3)

= 9/16(0)

= 0

Answer 2

Answer:

The value of $[\frac{9}{16}$ × $\frac{4}{12}]$ + $[ \frac{9}{16}$ × $(\frac{-3}{9})]$ is 0

Step-by-step explanation:

Given:-

$[\frac{9}{16}$ × $\frac{4}{12}]$ + $[ \frac{9}{16}$ × $(\frac{-3}{9})]$

We know that, distributive property is {a × b} + {a × c} = a × {b + c}

Now, applying distributive property in the given equation, we get,

= $[\frac{9}{16}$ × $\frac{4}{12}]$ + $[ \frac{9}{16}$ × $(\frac{-3}{9})]$

= $\frac{9}{16}$ × {  $\frac{4}{12}$ +  $(\frac{-3}{9})$}

=  $\frac{9}{16}$ × {$\frac{4}{12}-\frac{3}{9}$}

Now, calculate the LCM of 12 and 9

=  $\frac{9}{16}$ × {$\frac{12-12}{36}$}

=  $\frac{9}{16}$ × $0$

= $0$

∴ The value of $[\frac{9}{16}$ × $\frac{4}{12}]$ + $[ \frac{9}{16}$ × $(\frac{-3}{9})]$ is 0.

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