-1 3/10+(-4 2/15)
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.
To add -1 3/10 and -4 2/15, we need to find a common denominator for the fractions.
The common denominator for 10 and 15 is 30.
Now let's convert the mixed numbers to improper fractions:
-1 3/10 = -10/10 + 3/10 = -13/10
-4 2/15 = -60/15 + 2/15 = -58/15
Now that our numbers are in improper fraction form, we can add them together:
-13/10 + (-58/15)
To add fractions, we need to have a common denominator. Since the common denominator is 30, we need to adjust the numerators accordingly:
-13/10 + (-58/15) = -39/30 + (-116/30)
Now we can add the numerators:
-39/30 + (-116/30) = -155/30
Finally, we can simplify the fraction:
-155/30 = -31/6
Therefore, -1 3/10 + (-4 2/15) equals -31/6.