Question

excellence #3: add/subtract
show all work & circle your final answer.
-67.66 + 229.1
-97.4 - (-29.2)
-9\frac{1}{8} + 9\frac{7}{11}
-8\frac{1}{4} - 4\frac{9}{11}
-59.5 + -75.74
98.6 - (-4.39)

Explanation:

First Problem: $-67.66 + 229.1$

Step1: Rearrange for subtraction

We can rewrite the addition of a negative and a positive as a subtraction: $229.1 - 67.66$

Step2: Perform the subtraction

Subtract the two numbers: $229.1 - 67.66 = 161.44$

Step1: Simplify the double negative

Subtracting a negative is the same as adding the positive: $-97.4 + 29.2$

Step2: Perform the addition

Add the two numbers: $-97.4 + 29.2 = -68.2$

Step1: Convert mixed numbers to improper fractions

$-9\frac{1}{8} = -\frac{73}{8}$ and $9\frac{7}{11} = \frac{106}{11}$

Step2: Find a common denominator

The common denominator of 8 and 11 is 88. Convert the fractions: $-\frac{73}{8} = -\frac{803}{88}$ and $\frac{106}{11} = \frac{848}{88}$

Step3: Add the fractions

$-\frac{803}{88} + \frac{848}{88} = \frac{45}{88}$

Answer:

$161.44$

Second Problem: $-97.4 - (-29.2)$