3.4 (1) \( \frac{2}{5} \times\left(\frac{3}{7}+\frac{4}{5}\right)=\left(\frac{2}{5} \times \frac{3}{7}\right)+\left(\frac{2}{5} \times \frac{4}{5}\right) \)
Added by Richard B.
Close
Step 1
The common denominator for 7 and 5 is 35. So, we can rewrite the expression as: \( \frac{2}{5} \times\left(\frac{3}{7}+\frac{4}{5}\right) = \frac{2}{5} \times\left(\frac{3}{7} \times \frac{5}{5}+\frac{4}{5} \times \frac{7}{7}\right) \) Simplifying further: \( Show more…
Show all steps
Your feedback will help us improve your experience
Jaida L and 50 other Algebra and Trigonometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Exercises $1-34,$ perform the indicated multiplication. $$-\frac{3}{5} \cdot\left(-\frac{4}{7}\right)$$
Variables, Real Numbers, and Mathematical Models
Multiplication and Division of Real Numbers
Add and simplify, if possible. $$75 \frac{2}{5}+43 \frac{7}{30}+54 \frac{1}{3}$$
Fractions and Mixed Numbers
Adding and Subtracting Mixed Numbers
For Exercises $1-74,$ simplify. $$\frac{34-5(2)}{7+(9-4)}$$
Integers
Order of Operations
Recommended Textbooks
Introductory and Intermediate Algebra for College Students 4th
Prealgebra
Prealgebra and Introductory Algebra
Watch the video solution with this free unlock.
EMAIL
PASSWORD