Add -1 3/10+ -4 2/15

Answer 1

To add -1 3/10 and -4 2/15, we need to convert the mixed numbers to improper fractions first.

-1 3/10 is equal to -10/10 + 3/10 = -13/10.

-4 2/15 is equal to -60/15 + 2/15 = -58/15.

Now we can add -13/10 and -58/15:

(-13/10) + (-58/15)

To add fractions with different denominators, we need to find a common denominator. The least common multiple of 10 and 15 is 30.

Multiplying the numerator and denominator of -13/10 by 3, we get -39/30.

Multiplying the numerator and denominator of -58/15 by 2, we get -116/30.

Now, we can add -39/30 and -116/30:

-39/30 + (-116/30) = -155/30.

However, we can simplify this result by dividing both the numerator and denominator by their greatest common divisor (which is 5 in this case):

-155/30 = (-31/6).

Therefore, -1 3/10 + -4 2/15 is equal to -31/6.