To multiply a mixed number by a fraction, you must convert the mixed number to an improper fraction, then multiply the proper fractions.

Example 1. Find the value of the expression 2

Convert the mixed number into an improper fraction. After translation, the number will become a fraction of 3/2. Then we can multiply that fraction by 2/3

2

Let's say there is one whole pizza and a half pizza:

2

To multiply these pieces by 2/3 is to take two-thirds of them. To take two-thirds of them, first divide them into three equal parts. Split in half the pizza on the left. Then we have three equal slices:

2

Now if we take 2/3 (two slices of the three available), we get one whole pizza. For clarity, let's paint over the two slices:

2

Therefore, the value of the expression 2 was 1

2


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