Question

Cora is learning to drive ,so this weekend she practice driving 3/5 of a mile with her mother and another 3 2/3 miles with her father. How far did Cora drive in all.Write your answer as a fraction or as a whole or mixed number.

Answer 1

`\text{Answer: The total mile drive in all is 4}(4)/(15)\text{ miles}`

Cora is learning how to drive this weekend

Firstly, she practicedriving 3/5 of a mile with her mother

Secondl, she practice 3 2/3 miles with her father

To calculate how far Cora drive, we need to add the two miles together

`\begin{gathered} \text{First mile = 3/5} \\ \text{second mile = 3}(2)/(3) \\ \text{Convert the mixed fraction into improper fraction} \\ 3(2)/(3)\text{ = }\frac{(3\text{ x 3) + 2}}{3} \\ =\text{ }\frac{9\text{ + 2}}{3} \\ =\text{ }(11)/(3) \\ \text{Adding the two miles together} \\ (3)/(5)\text{ + }(11)/(3) \\ \text{ Find the common denominator} \\ \text{Common denominator = 5 x 3 = 15} \\ \frac{15(3)/(5)\text{ + 15}(11)/(3)}{15} \\ \frac{(3\text{ x 3) + (5 x 11)}}{15} \\ \frac{9\text{ + 55}}{15} \\ (64)/(15) \\ =\text{ 4}(4)/(15)\text{ miles} \end{gathered}`