Question
Find the products in simplest form \( \frac{8}{21} \cdot \frac{5}{16}= \)
Ask by Collins Rodriquez. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product is \( \frac{5}{42} \).
Solution
Calculate or simplify the expression \( \frac{8}{21} \cdot \frac{5}{16} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{8}{21}\times \frac{5}{16}\)
- step1: Reduce the numbers:
\(\frac{1}{21}\times \frac{5}{2}\)
- step2: Multiply the fractions:
\(\frac{5}{21\times 2}\)
- step3: Multiply:
\(\frac{5}{42}\)
The product of \( \frac{8}{21} \) and \( \frac{5}{16} \) in simplest form is \( \frac{5}{42} \) or approximately 0.1190476.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
To find the product of the fractions, multiply the numerators together and the denominators together. So, you have: \[ \frac{8 \cdot 5}{21 \cdot 16} = \frac{40}{336} \] Now, let's simplify \( \frac{40}{336} \). Both the numerator and the denominator can be divided by their greatest common divisor, which is 8. \[ \frac{40 \div 8}{336 \div 8} = \frac{5}{42} \] Thus, the product in simplest form is \( \frac{5}{42} \).
