Question

Wht is the value of x in the proportion 2 1/4 ÷ x = 1 1/4 ÷ 3 3/5

Answer 1

Answer:

$x = \frac{162}{25}$

Step-by-step explanation:

You need to solve the equation for x.

First change all the mixed numbers to improper fractions. Remember that a improper fraction the numerator (top number) is larger than the denominator (bottom number).  

$2\frac{1}{4} / x = 1\frac{1}{4} / 3\frac{3}{5}$

All you need to do is multiply the numerator with the whole number, then add to the numerator:

$\frac{9}{4} / x = \frac{5}{4} / \frac{18}{5}$

Now simplify, to get rid of the numbers that are dividing:

$(\frac{9}{4} ) (x)/(( x) (\frac{5}{18})) = (\frac{5}{4})(x) / ((\frac{18}{5})( \frac{5}{18} )$

Cancel same numbers that are multiplying and dividing:

$\frac{9}{4} / \frac{5}{18} = \frac{5}{4} (x)$

Clear X:

$x = (\frac{9}{4}) (\frac{4}{5} )/ \frac{5}{18}$

Simplify

$x = ( \frac{9}{5} ) ( \frac{18}{5} )$

you will get the following improper fraction: $\frac{162}{25\\}$

and for the mixed fraction you will have $6\frac{12}{25}$