9514 1404 393
Answer:
4
Step-by-step explanation:
The Order of Operations tells you that you must perform the division first. That is, you first want to calculate ...
(1 1/3) ÷ 2 = (4/3) ÷ 2 = 2/3
There are several ways you can do this division, but I find the easiest to be ...
4/3 ÷ 2 = (4÷2)/3 = 2/3
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So, the problem has been simplified to ...
4 2/3 - 2/3 = 4 ⇔ your answer
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Comment on division involving fractions
Just as multiplying a fraction by an integer means multiplying the numerator by that integer:
(a/b) × c = (ac)/b
so, division of a fraction by an integer can also be done by dividing the numerator:
(a/b) / c = (a/c)/b
Either way, the division is equivalent to ...
[tex]\dfrac{a}{b}\div c=\dfrac{a}{b}\cdot\dfrac{1}{c}=\dfrac{a}{bc}[/tex]
In this case, the last expression would end up being ...
4/3 ÷ 2 = 4/(3·2) = 4/6 . . . . . reduces to 2/3
By dividing the numerator, we essentially canceled a common factor of 2:
[tex]\dfrac{4}{3}\div2=\dfrac{2\cdot2}{3\cdot2}=\dfrac{4\div2}{3}=\dfrac{2}{3}[/tex]
