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 =
a. 13/15
b. 11/15
c. 3/5
d. 2/15

Answer 1

To add unlike fractions, convert them to equivalent fractions with a common denominator. Then, add the numerators and keep the denominator the same. The final sum of 1/5 and 2/3 is 13/15.

Step-by-step explanation:

To add unlike fractions, we need to first convert them into equivalent like fractions. The first step is to find the LCD (Least Common Denominator) of the fractions, which is the smallest multiple that both denominators evenly divide into.

In this case, the LCD of 5 and 3 is 15. To convert 1/5 to an equivalent fraction with a denominator of 15, we multiply both the numerator and denominator by 3. So, 1/5 becomes 3/15. Similarly, to convert 2/3 to an equivalent fraction with a denominator of 15, we multiply both the numerator and denominator by 5. So, 2/3 becomes 10/15.

Now that both fractions have the same denominator of 15, we can add them together. 3/15 + 10/15 = (3 + 10)/15 = 13/15.

Lastly, we should check if the resulting fraction can be reduced. In this case, 13 and 15 do not have any common factors other than 1, meaning the fraction cannot be reduced further. So, the final sum is 13/15.