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In the first expression, the word of
means to multiply 12 by the fraction.
The expressions are equal.
We are asked to explain the relation of the following expressions.
| Expression |
|---|
| 1/4 of 12 |
| 12 divided by 4 |
ofmeans that we need to multiply 12 by the fraction 14.
a/c* b = a* b/c
Identity Property of Multiplication
Calculate quotient
Let's imagine that there are 12 apples and 4 people.
Let's try to share the 12 apples evenly between these 4 people!
Notice that each person got 3 apples. Also, notice that each person got 14 of all the apples.
Therefore, we can write the following conclusion. 12apples split between4 people = 1/4of the12apples Recall that splitting something up can be represented with division. 12apples divided by 4 people = 1/4of the12apples Notice that apples and people could be switched with anything else! We can now write the following equation. 12 divided by 4 = 1/4of12 We found that the expressions are equal!