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Q4
A basket contains some apples and oranges.
(5)/(12) of the fruits are apples. There are 15 apples.
How many apples and oranges are there altogether?

Q $4$ $\newline$ A basket contains some apples and oranges. $\frac{5}{12}$ of the fruits are apples. There are $15$ apples. $\newline$ How many apples and oranges are there altogether?

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Multiply fractions: word problems

Full solution

Q. Q

4

\newline

A basket contains some apples and oranges.

\frac{5}{12}

of the fruits are apples. There are

15

apples.

\newline

How many apples and oranges are there altogether?

Set up equation: We know that $\frac{5}{12}$ of the fruits are apples and there are $15$ apples. So, to find the total number of fruits, we can set up the equation $(\frac{5}{12}) \times \text{total number of fruits} = 15$ .
Solve for total: Now, we solve for the total number of fruits. We divide $15$ by $(5/12)$ to get the total. $\newline$ $15 \div (5/12) = 15 \times (12/5) = 36$ .
Calculate total: So, there are $36$ fruits in total in the basket.

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\newline

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