Brewer Vargas
09/25/2023 · High School
Integer chips \( -5 \frac{3}{5}\left(-\frac{2}{3}\right)=56 / 15 \) \( \frac{-12}{\frac{1}{3}}=-36 \) \( \frac{45.6}{-3}=-76 / 5 \) \( 8.7(-0.06)=-0.42 \) Answer 1:
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let's evaluate each expression step by step.
1. **For the first expression:**
\[
-5 \frac{3}{5}\left(-\frac{2}{3}\right)
\]
First, convert the mixed number to an improper fraction:
\[
-5 \frac{3}{5} = -\frac{28}{5}
\]
Now, multiply:
\[
-\frac{28}{5} \times -\frac{2}{3} = \frac{28 \times 2}{5 \times 3} = \frac{56}{15}
\]
This is correct.
2. **For the second expression:**
\[
\frac{-12}{\frac{1}{3}} = -12 \times 3 = -36
\]
This is also correct.
3. **For the third expression:**
\[
\frac{45.6}{-3} = -\frac{45.6}{3}
\]
Calculate \( \frac{45.6}{3} \):
\[
45.6 \div 3 = 15.2
\]
Therefore:
\[
\frac{45.6}{-3} = -15.2
\]
The statement \( -76 / 5 \) is incorrect because \( -76 / 5 = -15.2 \) is correct.
4. **For the fourth expression:**
\[
8.7(-0.06) = -8.7 \times 0.06
\]
Calculate:
\[
8.7 \times 0.06 = 0.522
\]
Therefore:
\[
8.7(-0.06) = -0.522
\]
The statement \( -0.42 \) is incorrect.
### Summary of Results:
1. \( -5 \frac{3}{5}\left(-\frac{2}{3}\right) = \frac{56}{15} \) (Correct)
2. \( \frac{-12}{\frac{1}{3}} = -36 \) (Correct)
3. \( \frac{45.6}{-3} = -15.2 \) (Incorrect statement)
4. \( 8.7(-0.06) = -0.522 \) (Incorrect statement)
### Final Answer:
The correct evaluations are:
1. \( \frac{56}{15} \)
2. \( -36 \)
3. \( -15.2 \)
4. \( -0.522 \)
Quick Answer
1. \( \frac{56}{15} \)
2. \( -36 \)
3. \( -15.2 \)
4. \( -0.522 \)
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