Question

4.) Divide: 6/28x+4 ÷ 6/35x+5

Answer 1

`(5)/(4)\text{ or 1}(1)/(4)`

Here, we want to make a division

The easiest way to go about this is to turn what we have on the right handside upside down, then change the sign at the middle to multiplication

We have;

`\begin{gathered} \frac{6}{28x\text{ + 4}}\text{ }*\text{ }\frac{35x\text{ + 5}}{6} \\ \\ =\text{ }\frac{35x\text{ + 5}}{28x\text{ + 4}} \\ \\ =\text{ }\frac{5(7x\text{ + 1)}}{4(7x\text{ + 1)}} \\ \\ =\text{ }(5)/(4)\text{ = 1}(1)/(4) \end{gathered}`