Answer to Question #147543 in Algebra for Reem

Question

Let us consider two irreducible fractions. The denominator of the first one is equal to 3800,and the denominator of the second to 3700. What is the smallest possible denominator of fraction equal to the sum of these fractions, after the fraction is reduced? For example, 2/3 + 8/15= 18/15 = 6/5, and the denominator after the reduction is equal to 5

Answer 1

Lets take a/3700+b/3800

The common denominator for both of them is 140600 because it is the smallest number that can be divided by both 3800 and 3700. And it is general denominator so the sum of fraction is (37a+38b)/140600, whether 140600 can be divisor or not dependent on the value of a and b.

Answer is 140600