Hobbs Rojas
02/19/2023 · High School

\begin{tabular}{|l|l|}\hline 3) \( -\frac{9}{11}\left(-\frac{22}{15}\right) \) & 4) \( -4 \frac{3}{8}\left(2 \frac{4}{7}\right) \) \\ \hline\end{tabular}

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

Let's solve each problem step by step. ### Problem 3: \( -\frac{9}{11}\left(-\frac{22}{15}\right) \) 1. **Multiply the numerators:** \( -9 \times -22 = 198 \) 2. **Multiply the denominators:** \( 11 \times 15 = 165 \) 3. **Simplify the fraction:** \( \frac{198}{165} \) 4. **Find the greatest common divisor (GCD) of 198 and 165:** The GCD is 33. 5. **Divide both the numerator and the denominator by the GCD:** \( \frac{198 \div 33}{165 \div 33} = \frac{6}{5} \) So, the answer to problem 3 is \( \frac{6}{5} \). ### Problem 4: \( -4 \frac{3}{8}\left(2 \frac{4}{7}\right) \) 1. **Convert mixed numbers to improper fractions:** - \( -4 \frac{3}{8} = -\frac{4 \times 8 + 3}{8} = -\frac{35}{8} \) - \( 2 \frac{4}{7} = \frac{2 \times 7 + 4}{7} = \frac{18}{7} \) 2. **Multiply the fractions:** \( -\frac{35}{8} \times \frac{18}{7} \) 3. **Multiply the numerators:** \( -35 \times 18 = -630 \) 4. **Multiply the denominators:** \( 8 \times 7 = 56 \) 5. **Simplify the fraction:** \( \frac{-630}{56} \) 6. **Find the GCD of 630 and 56:** The GCD is 2. 7. **Divide both the numerator and the denominator by the GCD:** \( \frac{-630 \div 2}{56 \div 2} = \frac{-315}{28} \) So, the answer to problem 4 is \( -\frac{315}{28} \). In summary: - Problem 3: \( \frac{6}{5} \) - Problem 4: \( -\frac{315}{28} \)

Quick Answer

Problem 3: \( \frac{6}{5} \) Problem 4: \( -\frac{315}{28} \)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions