how do I get the answser for 2/3+3/5-1/2

Question

what is the formula for figuring this problem out? 2/3 + 3/5 - 1/2

Answer 1

The answer is: the common denominator is 3x5x2=30. Your statement will turn into 20/30+18/30-15/30=23/30

Regards, Alex

Answer 2

Hi Toni;

2/3+3/5-1/2

(2/3)+(3/5)-(1/2)=x

Let's note the denominators are 3, 5 and 2.

Let's multiply these together...

(3)(5)(2)=30

Let's multiply both sides of the equation by 30...

30[(2/3)+(3/5)-(1/2)]=30x

(60/3)+(90/5)-(30/2)=30x

20+18-15=30x

38-15=30x

23=30x

Let's divide both sides by 30...

23/30=(30x)/30

23/30=x