Question

How many fourths are there in 5/3 ?

Answer 1

The statement "there are
`x` fourths in 5/3" is the same as the equation

`x\cdot\frac14=\frac53`

We can find the number of fourths in 5/3 by dividing both sides of the equation by 1/4:

`(x\cdot\frac14)/(\frac14)=(\frac53)/(\frac14)\implies x=\frac53\cdot\frac41`

`\implies x=\frac{20}3`

So there are 20/3, or about 6.67, fourths in 5/3.