Calculate 3/5 of 15: A Fraction Distribution Problem

Graciela bought 15 apples and distributed them to give to her mother 35 \frac{3}{5} , to her sister15 \frac{1}{5} and the rest for herself.

How many apples did Graciela's mother receive?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 How many apples did Dina's mother receive
00:04 Let's multiply Dina's mother's relative quantity by the sum of apples
00:08 Let's put the multiplication in the numerator
00:13 Let's reduce as much as possible
00:16 Make sure to divide both numerator and denominator
00:25 Let's calculate the multiplication
00:31 Any number divided by 1 is always equal to itself
00:36 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Graciela bought 15 apples and distributed them to give to her mother 35 \frac{3}{5} , to her sister15 \frac{1}{5} and the rest for herself.

How many apples did Graciela's mother receive?

2

Step-by-step solution

Let's multiply the number of apples by the fraction representing the number of apples she gave to her mother:

35×15= \frac{3}{5}\times15=

We'll multiply the numerator by 15:

3×155= \frac{3\times15}{5}=

We'll divide both the numerator and denominator by 5

3×15:55:5= \frac{3\times15:5}{5:5}=

Let's first solve the division operations in the numerator and denominator, and we'll get:

3×31=91=9 \frac{3\times3}{1}=\frac{9}{1}=9

3

Final Answer

9 9

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