Question

Daneille shares her snack with her friends. She has 16 carrots and 12 strawberries . She gives (1)/(2) of her carrots and (2)/(3 )of her strawberries. How. Many carrots and strawberries did she give away?

Answer 1

Daneille shared 8 carrots and 8 strawberries.

Explanation:

The key to answer this question is multiplying each fraction with the total of carrots and strawberries, that is, we just need to multiply each quantity by the numerator of the fraction and then divide the result by the denominator of the fraction.

She has 16 carrots and 12 strawberries. When the question tell us that "she gives (1)/(2) of her carrots and (2)/(3) of her strawberries, we can write this as:

She gives
`\\ (1)/(2) * 16\;carrots`

She gives
`\\ (2)/(3) * 12\;strawberries`

As a result, we can solve the questions as follows:

How many carrots did she give away?

She gives
`\\ (1)/(2) * 16\;carrots`

`\\ (1 * 16)/(2)\;carrots`

`\\ (16)/(2)\;carrots`

`\\ 8\;carrots`

Therefore, Daneille shared 8 carrots.

How many strawberries did she give away?

She gives
`\\ (2)/(3) * 12\;strawberries`

`\\ (2* 12)/(3)\;strawberries`

`\\ (24)/(3)\;strawberries`

`\\ 8\;strawberries`

Thus, Daneille shared 8 strawberries.