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