Question

What mixed number goes in the square 4 3/14 + 4/7

Answer 1

Given that

4 3/14 + 4/7

`\begin{gathered} 4(3)/(14)\text{ + }(4)/(7) \\ \text{Firstly, convert the mixed fraction into an improper fraction} \\ 4\text{ }(3)/(14)\text{ = }\frac{(4\text{ x 14) + 3}}{14} \\ 4(3)/(14)\text{ = }\frac{56\text{ + 3}}{14} \\ 4(3)/(14)\text{ = }(59)/(14) \\ \\ \text{Therefore, }(59)/(14)\text{ + }(4)/(7) \\ (59)/(14)\text{ + }(4)/(7) \\ \text{The common denominator is 14} \\ \frac{14(59)/(14)\text{ +14 }(4)/(7)}{14}\text{ = }\frac{59\text{ + 8}}{14} \\ =\text{ }\frac{67}{14\text{ }} \\ =\text{ }4(11)/(14) \end{gathered}`