Question

Solve the equation: \frac{2}{3}t=\frac{5}{9} (hint: reciprocal)

Answer 1

Given:

`(2)/(3)t=(5)/(9)`
`\text{ We know that the reciprocal of }(2)/(3)\text{ is }(3)/(2)\text{.}`

Multiply both sides by 3/2, we get

`(3)/(2)*(2)/(3)t=(3)/(2)*(5)/(9)`

Cancel out the common multiples, we get

`t=(1)/(2)*(5)/(3)`

`t=(1*5)/(2*3)`

`t=(5)/(6)`

The solution of the given equation is

`t=(5)/(6)`

or

`t=0.8333.`