Add −1 3/10 +(−4 2/15).(1 point)
Responses
A−2 5/6
B −5 1/6
C −5 13/30
D −5 1/5
To add the given fractions, we first need to convert the mixed numbers to improper fractions.
-1 3/10 as an improper fraction is -10/10 + 3/10 = -13/10
-4 2/15 as an improper fraction is -60/15 + 2/15 = -58/15
Now, let's add the fractions:
-13/10 + (-58/15)
To add fractions, we need a common denominator. The least common multiple of 10 and 15 is 30, so we'll rewrite the fractions with the common denominator of 30:
(-13/10)(3/3) + (-58/15)(2/2)
= (-39/30) + (-116/30)
Now, we can add the fractions:
(-39/30) + (-116/30) = -155/30
The final answer is -5 5/30, which simplifies to -5 1/6.
Therefore, the correct answer is B) -5 1/6.
To add −1 3/10 and (−4 2/15), we need to first convert both numbers to improper fractions.
−1 3/10 can be written as -10/10 + 3/10, which is -13/10.
(−4 2/15) can be written as -4 + 2/15.
Now, to add the fractions, we need to have a common denominator, which in this case is 30.
So, -13/10 can be multiplied by 3/3 to get -39/30.
-4 can be multiplied by 15/15 to get -60/15.
Combining the fractions, we have:
-39/30 + -60/15 = -39/30 - 120/30 = -159/30.
Now, let's simplify the result. The greatest common divisor (GCD) of 159 and 30 is 3.
So, we can divide both the numerator and denominator by 3 to get -53/10.
Therefore, the answer is option A: −2 5/6.