Add 1/6 + 1/2.

help with this .

Add -4/5 + (-3/4).

For each fraction, find the common denominator before you add or subtract.

in the first one if you change both denominators to 6, then your answer is 4/6, simplified as 2/3

same way for the second one the common denominator is 20. so the problem is
-16/20 + -15/20
now just add the numerators :)

To add fractions, we need to find a common denominator.

For the first problem:
1/6 + 1/2

Since 6 and 2 have a common multiple of 6, we can use 6 as the common denominator. We then convert both fractions to have this denominator:

1/6 + 3/6

Now that the fractions have the same denominator, we can add their numerators:

1 + 3 = 4

So, the sum is 4/6. However, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

4/6 = 2/3

Thus, 1/6 + 1/2 = 2/3.

For the second problem:
-4/5 + (-3/4)

To add fractions with different signs, we need to first find a common denominator. In this case, the least common multiple of 5 and 4 is 20. We convert both fractions to have this denominator:

-16/20 + (-15/20)

Now that the fractions have the same denominator, we can add their numerators:

-16 + (-15) = -31

So, the sum is -31/20. This fraction can also be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 1:

-31/20 is already in its simplified form.

Thus, -4/5 + (-3/4) = -31/20.