Add -1 3/10 + (-4 2/15)
answers:
-5 1/5 A
-5 1/6 B
-2 5/6 C
-5 13/30 D
To solve this addition problem, you need to convert the mixed numbers into improper fractions.
-1 3/10 can be written as -10/10 + 3/10 = -13/10
-4 2/15 can be written as -60/15 + 2/15 = -58/15
Now you can add the fractions:
-13/10 + (-58/15) = (-13*15 - 58*10)/(10*15) = (-195 - 580)/(150) = -775/150.
Now, let's simplify this fraction:
-775/150 can be written as -5 125/150.
The simplified mixed number is -5 5/6.
Therefore, the correct answer is option C: -2 5/6.
To add -1 3/10 and (-4 2/15), follow these steps:
Step 1: Convert both mixed numbers to improper fractions.
-1 3/10 = -10/10 + 3/10 = -13/10
(-4 2/15) = -4(15/15) + 2/15 = -60/15 + 2/15 = -58/15
Step 2: Add the fractions.
-13/10 + (-58/15)
Step 3: Find a common denominator.
To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 10 and 15 is 30. Therefore, we'll rewrite the fractions with a common denominator of 30.
-13/10 = -39/30
-58/15 = -116/30
Step 4: Add the fractions.
-39/30 + (-116/30) = -155/30
Step 5: Simplify the fraction if possible.
The fraction -155/30 can be simplified. The greatest common divisor (GCD) of 155 and 30 is 5. Divide both the numerator and denominator by 5.
-155/30 = -31/6
So, the answer is -5 1/6 B.