What is the value of x in the proportion StartFraction 2 and one-fourth over x EndFraction = StartFraction 1 and one-half over 3 and three-fifths EndFraction?

x = 10 4/5

Step-by-step explanation:

We want to find the value of x in the expression below;

2 1/4/x = 1 1/2/3 3/5

The best thing to do here is to turn all the mixed fractions to improper fractions. Thus, we have;

9/2/x = 3/2/18/5

= 9/2x = 3/2 * 5/18

9/2x = 15/36

9 * 36 = 15 * 2x

324 = 30x

x = 324/30 = 10 8/10 = 10 4/5

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step-by-step explanation:

so, converting firstly the mixed fractions to improper fractions and then "adding".