Question

What is 4 2/3 + 7/9 as a fraction

Answer 1

The calculation is

`4\cdot(2)/(3)+(7)/(9)`

First step is to solve the multiplication.

4 means that there are four wholes, if you express in in thirds

`\begin{gathered} 1\text{whole}=(3)/(3) \\ 4\text{wholes}=(3\cdot4)/(3)=(12)/(3) \end{gathered}`

Then the multiplication you have to do is

`(12)/(3)\cdot(2)/(3)=(8)/(3)`

Now that the multiplication is done add 7/9

`(8)/(3)+(7)/(9)=(31)/(9)`