Question

use multiplication and the distributive property to find the quotient of 96÷ 6

Answer 1

6x16 = 96
(90+6)/6=90/6 + 6/6 =15+1=16

Answer 2

Before we begin, remember the following:

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

Now, for the given:

We want to find $\frac{96}{6}$

To be able to get the solution, we will need to break down the given into simpler terms, solve those terms and combine the result

This can be done as follows:

96 = 60 + 30 + 6

Therefore:

$\frac{96}{6}$ can be rewritten as $\frac{60+30+6}{6}$

Now, using the rule mentioned in the beginning, we can break this into:

$\frac{60}{6} + \frac{30}{6} + \frac{6}{6}$

The terms are now easier and can be solved:

$\frac{60}{6} = 10\\ \frac{30}{6} = 5\\ \frac{6}{6} = 1$

Therefore, the quotient is computed as:

$\frac{60}{6} + \frac{30}{6} + \frac{6}{6}$ = 10 + 5 + 1 = 16

Hope this helps :)