Question

`(5)/(3) + (4)/(6) =`
.................​

Answer 1

`(7)/(3) =2(1)/(3)`

Explanation:

For the problem:

`(5)/(3) +(4)/(6) = ?`

The Least Common Multiple (LCM) of 3 and 6 is 6. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

`(5)/(3) +(4)/(6) =(5*2)/(3*2) +(4)/(6) =(10)/(6) +(4)/(6)`

Now that the fractions have like denominators, add the numerators:

`(10)/(6) +(4)/(6) =(10+4)/(6) =(14)/(6)`

The Greatest Common Factor (GCF) of 14 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

`(14)/(6) =(14/2)/(6/2) =(7)/(3)`

7 ÷ 3 = 2R1, therefore:

`(7)/(3) =2(1)/(3)`