4/15 + 3/10
Convert both fractions to a common denominator (30) and add. Simplify if necessary.
The common denominator is obtained by finding the LCM (lowest common multiple) of 10 and 15.
How to find the LCD of 3/4 and 1/8 show the work please
To add the fractions 4/15 and 3/10, you need to find a common denominator and then combine the numerators.
Step 1: Finding a common denominator:
The denominators of the given fractions are 15 and 10. To find a common denominator, you can determine the least common multiple (LCM) of 15 and 10, which is 30. So, the common denominator for both fractions is 30.
Step 2: Converting the fractions to have a denominator of 30:
Since the denominator of the first fraction, 4/15, is already 15, you need to multiply both the numerator and the denominator by 2 to make the denominator 30.
4/15 = (4 * 2)/(15 * 2) = 8/30
For the second fraction, 3/10, you need to multiply both the numerator and the denominator by 3 to make the denominator 30.
3/10 = (3 * 3)/(10 * 3) = 9/30
Step 3: Adding the fractions:
Now that both fractions have the same denominator, you can add them together by adding the numerators and keeping the denominator the same.
8/30 + 9/30 = 17/30
Therefore, the sum of 4/15 and 3/10 is 17/30.