Add −1 3/10 +(−4 2/15).
To add -1 3/10 and -4 2/15, we first need to convert the mixed numbers into improper fractions.
-1 3/10 can be written as -1 + 3/10 = -10/10 + 3/10 = -13/10.
-4 2/15 can be written as -4 + 2/15 = -60/15 + 2/15 = -58/15.
Now we can add the fractions together:
-13/10 + (-58/15)
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 10 and 15 is 30.
Multiplying the numerator and denominator of -13/10 by 3 gives us -39/30,
and multiplying the numerator and denominator of -58/15 by 2 gives us -116/30.
Now we can add the fractions with the same denominator:
-39/30 + (-116/30)
To add the fractions, we add the numerators:
-39 + (-116) = -155.
So the sum is -155/30.
Finally, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5:
-155/30 ÷ 5/5 = -31/6.
Therefore, the sum of -1 3/10 and -4 2/15 is -31/6.
To add −1 3/10 with −4 2/15, we need to convert the mixed fractions into improper fractions and then find a common denominator.
First, let's convert −1 3/10 into an improper fraction:
-1 3/10 = -(10*1 + 3)/10 = -13/10
Next, let's convert −4 2/15 into an improper fraction:
-4 2/15 = -(15*4 + 2)/15 = -62/15
Now, let's find a common denominator. The least common multiple of 10 and 15 is 30.
Converting both fractions to have a denominator of 30:
-13/10 * 3/3 = -39/30
-62/15 * 2/2 = -124/30
Now, we can add the fractions:
-39/30 + -124/30 = (-39 - 124)/30 = -163/30
Therefore, −1 3/10 + (−4 2/15) is equal to -163/30.