Question

What’s the product of 3 2⁄3 and 14 2⁄5 ? A. 52 4⁄5 B. 42 4⁄5 C. 54 D. 52 4⁄15

Answer 1

Hello!

First of all, let's convert these mixed numbers into improper fractions. We multiply the denominator by the whole number, and add the numerator to find the final numerator.

`3(2)/(3) =9(2)/(3)=(11)/(3)`

`14(2)/(5) =70(2)/(5) =(72)/(5)`

Now we multiply our fractions. We can also cancel out common factors in diagonals to automatically simplify our answer.

`(11)/(3) \cdot(72)/(5) =(11)/(1) \cdot(24)/(5) =(264)/(5) = 52 (4)/(5)`

Therefore, our answer is
`\boxed {A) 52 (4)/(5)}`.

I hope this helps!

Answer 2

Hi!

First, convert the mixed numbers to improper fractions.

3 * 3 = 9

9 + 2 = 11

`(11)/(3)`

14 * 5 = 70

70 + 2 = 72

`(72)/(5)`

Now multiply them.

`(11)/(3) * (72)/(5) = (792)/(15)`

Simplify.

52 4/5

The answer is A. 52 4/5

Hope this helps! :)

-Peredhel