The value of x is 1.5.
Step-by-step explanation:
Step 1:
First, we must convert the mixed fractions into improper fractions.
To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged.
To convert the fraction [tex]2\frac{7}{10} = \frac{(2(10)+7)}{10} = \frac{27}{10}.[/tex]
Step 2:
So [tex]\frac{9}{5} x = \frac{27}{10},[/tex]
By cross multiplying the fraction on the left-hand side of the equation, we get
[tex]x = (\frac{27}{10} )(\frac{5}{9} ) = \frac{3}{2} = 1.5.[/tex]
So the value of x is 1.5.
