Question

How do you determine whether the proportion is true or false: `(3/2)/(21/5)=(1/3)/(14/15)`?

Answer 1

The proportion is true. Both sides are equal to `5/14`.

Explanation:

`frac{3/2}{21/5}=frac{1/3}{14/15}`

There are 2 fractions on each side. Make it so that there is only one fraction on each side by dividing. Dividing is the same as multiplying by the reciprocal.

Left Side:
`frac{3/2}{21/5}`
`=(3/2)*(5/21)`
`=(5/14)*(3/3)`
`=5/14`

Right Side:
`frac{1/3}{14/15}`
`=(1/3)*(15/14)`
`=5/14*3/3`
`=5/14`