Add -1 3/10 + (-4 2/15)
To add -1 3/10 and -4 2/15, we can first convert these mixed numbers into 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 fractions with different denominators, we need to find a common denominator.
The least common denominator (LCD) of 10 and 15 is 30.
Multiply the numerator and denominator of -13/10 by 3 to make the denominator 30:
(-13/10) * (3/3) = -39/30
Multiply the numerator and denominator of -58/15 by 2 to make the denominator 30:
(-58/15) * (2/2) = -116/30
Now add the fractions with the same denominator:
-39/30 + (-116/30) = -155/30
Simplify the fraction if necessary:
-155/30 = -31/6
Therefore, -1 3/10 + (-4 2/15) equals -31/6.
To add -1 3/10 and -4 2/15, we first need to convert the mixed numbers into improper fractions. Then, we can add the fractions together.
-1 3/10 can be converted to an improper fraction as follows:
-1 3/10 = (10 * -1 + 3) / 10 = -13/10
Similarly, -4 2/15 can be converted to:
-4 2/15 = (15 * -4 + 2) / 15 = -62/15
Now we can add the fractions:
-13/10 + -62/15
To add fractions, we need a common denominator. In this case, the least common multiple of 10 and 15 is 30.
Thus, we can rewrite the fractions with a common denominator:
-13/10 = -39/30
-62/15 = -124/30
Now we can add the fractions:
-39/30 + -124/30 = -163/30
Therefore, -1 3/10 + (-4 2/15) equals -163/30.