Answer:
4[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
An easy way to add two fractions is by finding the LCM of the fractions, then changing the denominators.
LCM - Lowest Common Multiple - Found by taking the sets of each number's multiples, then finding the first number to appear twice.
Let's find the LCM of 5 and 6 so that we can change the fractions to have equal denominators:
5 - 5, 10, 15, 20, 25, 30
6 - 6, 12, 18, 24, 30, 36
The first number to show up twice is 30, so change the fractions to have denominators of 30.
[tex]\frac{1}{5}[/tex] × [tex]\frac{6}{6}[/tex] = [tex]\frac{6}{30}[/tex]
[tex]\frac{5}{6}[/tex] × [tex]\frac{5}{5}[/tex] = [tex]\frac{25}{30}[/tex]
Now, add the fractions:
2[tex]\frac{6}{30}[/tex] + 1[tex]\frac{25}{30}\\[/tex] = 3[tex]\frac{31}{30}[/tex] = 4[tex]\frac{1}{30}[/tex]
