The statement "there are [tex]x[/tex] fourths in 5/3" is the same as the equation
[tex]x\cdot\dfrac14=\dfrac53[/tex]
We can find the number of fourths in 5/3 by dividing both sides of the equation by 1/4:
[tex]\dfrac{x\cdot\frac14}{\frac14}=\dfrac{\frac53}{\frac14}\implies x=\dfrac53\cdot\dfrac41[/tex]
[tex]\implies x=\dfrac{20}3[/tex]
So there are 20/3, or about 6.67, fourths in 5/3.
