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4 votes
4 votes
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 =

User Clark Pan
by
2.5k points

1 Answer

12 votes
12 votes

Answer:

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!

User Tim Boland
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2.7k points