Fraction Calculation Problems - easy

Solution:
The lowest common denominator is the least common multiple of 2 and 3, which is 6. We expand both fractions: .

Solution:
Both fractions should be reduced before performing arithmetic operations. We get

Solution:
The lowest common multiple of 2,3,6 is 6. So we have

Solution:
We must first ensure that both fractions are irreducible.

Solution:
The least common multiple of 8 and 4 is 8, since 8=2.4. Then

Solution:
We should first reduce both fractions. The second one already is, but the first is not. We have

Solution:
Since , the lowest common denominator of these fractions is 21. We expand one of them:

Solution:
Both fractions already have the same denominator, so we add the numerators:

Solution:
We can substitute division by a certian fraction with multiplication by its reciprocal: