Answer:
[tex]x = \frac{162}{25}[/tex]
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).
[tex]2\frac{1}{4} / x = 1\frac{1}{4} / 3\frac{3}{5}\\\[/tex]
All you need to do is multiply the numerator with the whole number, then add to the numerator:
[tex]\frac{9}{4} / x = \frac{5}{4} / \frac{18}{5}[/tex]
Now simplify, to get rid of the numbers that are dividing:
[tex](\frac{9}{4} ) (x)/(( x) (\frac{5}{18})) = (\frac{5}{4})(x) / ((\frac{18}{5})( \frac{5}{18} )[/tex]
Cancel same numbers that are multiplying and dividing:
[tex]\frac{9}{4} / \frac{5}{18} = \frac{5}{4} (x)[/tex]
Clear X:
[tex]x = (\frac{9}{4}) (\frac{4}{5} )/ \frac{5}{18}[/tex]
Simplify
[tex]x = ( \frac{9}{5} ) ( \frac{18}{5} )[/tex]
you will get the following improper fraction: [tex]\frac{162}{25\\}[/tex]
and for the mixed fraction you will have [tex]6\frac{12}{25}[/tex]
