Question

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.

1/5 =
2/3 =
1/5 + 2/3 =

Answer 1

3

Explanation:

The fractions are:
`(1)/(5)` and
`(2)/(3)`. Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this:
`(5)/(15)` and
`(10)/(15)`. Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in
`(2)/(3)`, we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation:
`(1)/(5)` +
`(2)/(3)`. We know it is the same as
`(5)/(15)` and
`(10)/(15)`. So now all we do is add the numerators together: 5+10=15 or
`(15)/(15)`. Now we have to reduce the fraction.
`(15)/(15)` can be reduced to 3 by dividing 15 by 5=3. The final fraction is
`(3)/(3)` or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!