Hey there :)
Something times [tex] \frac{5}{9} [/tex] = [tex] \frac{40}{9} [/tex]
Let r represent the unknown
r × [tex] \frac{5}{9} = \frac{40}{9} [/tex]
To find the value of r, take [tex] \frac{5}{9} [/tex] to the other side by division since the operation performed in multiplication
r = [tex] \frac{40}{9} [/tex] ÷ [tex] \frac{5}{9} [/tex]
Since it is a fraction, you can multiply by what is called the reciprocal of the second number divided by
r = [tex] \frac{40}{9} [/tex] × [tex] \frac{9}{5} [/tex]
The 9's can cancel out since one is in the numerator and the other in the denominator
r = [tex] \frac{40}{5} [/tex]
r = 8
The unknown number is 8
