-1 3/10+(-4 2/15)

Answer 1

To simplify the expression -1 3/10 + (-4 2/15), we first convert both mixed numbers to improper fractions.

-1 3/10 = -10/10 + 3/10 = -13/10

-4 2/15 = -60/15 + 2/15 = -58/15

Now, we can add the fractions:

-13/10 + (-58/15)

To add these fractions, we need to find a common denominator, which in this case is 30. We can convert the fractions to have the same denominator:

-13/10 = -39/30
-58/15 = -116/30

Now, we can add them:

-39/30 + (-116/30)

To add the fractions, we simply add the numerators:

-39 + (-116) = -155

The denominator remains the same:

-155/30

Since the numerator and denominator have a common factor of 5, we can simplify the fraction:

-155/30 = -31/6

Therefore, -1 3/10 + (-4 2/15) simplifies to -31/6.