Here we're dealing with complex fractions. There's two ways to go about solving this problem.Solution 1If you're dividing by a fraction, it's the same thing as multiplying by it's reciprocal. The reciprocal of 5/4 is 4/5, and if we were to multiply 4/5 by 2/3, we're left with2 x 43 5Now it's just multiplication, and we get 8/15.Solution 2Another way is to look at it written as a complex fraction.23--54If we take the denominator of the top fraction and multiply it with the number of the bottom fraction, we'll get the denominator of the new fraction. Likewise, if we take the numerator of the top fraction and multiply it with the denominator of the bottom fraction, we'll get the numerator of the new fraction.So, multiplying 2 * 4 will get 8 (the numerator), and multiply 3 * 5 will get 15 (the denominator), so our answer is 8/15.
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