Question
Multiply the rational expressions. Express numbers as integers or simplified fractions.
Ask by Page Jimenez. in the United States
Jan 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product is \( \frac{8}{15} \) or \( 0.5\dot{3} \).
Solution
Calculate or simplify the expression \( \frac{2}{3} \times \frac{4}{5} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{2}{3}\times \frac{4}{5}\)
- step1: Multiply the fractions:
\(\frac{2\times 4}{3\times 5}\)
- step2: Multiply:
\(\frac{8}{15}\)
The product of the rational expressions \( \frac{2}{3} \) and \( \frac{4}{5} \) is \( \frac{8}{15} \) or \( 0.5\dot{3} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
To multiply rational expressions, first make sure to factor any expressions in the numerator and denominator, if possible. For example, if you have (2x/3) * (9/4x), you multiply across the numerators and denominators: (2x * 9) / (3 * 4x) = 18x / 12x. Simplifying this gives you 3/2, as the 'x' cancels out and both the numerator and denominator can be divided by 6. Remember to always check for any common factors before multiplying, as it can simplify your calculations immensely! By canceling common factors early, you’ll make your life easier and avoid unnecessary fractions. Happy calculating!
