Compute $\frac{34}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot \frac{48}{49}\cdot \frac{63}{64}\cdot \frac{80}{81}\cdot \frac{99}{100}$. Express your answer in the simplest way possible.
Answers
Answer:
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Answer:
I've translated and cleaned up this problem for all the people who can't solve it because of the formatting.
Step-by-step explanation:
The problem translated and cleaned up is
Compute 3/4 * 8/9 * 15/16 * 24/25 * 35/36 * 48/49 * 63/64 * 80/81 * 99/100. Express your answer in the simplest way possible.
The answer is 11/20.
To multiply fractions multiply the numerators together and then denominators together for the product. Simplify when the problem asks for it.
Formula: a/b * c/d = (a*c)/(b*d) (simplified if problem asks for)
First do 3/4 * 8/9 = 24/36 = 2/3 (simplified)
Then, 2/3 * 15/16 = 30/48 = 5/8 (simplified)
Then, 5/8 * 24/25 = 120/200 = 3/5 (simplified)
(I'm gonna continue it on in one line)
3/5 * 35/36 = 7/12, 7/12 * 48/49 = 4/7, 4/7 * 63/64 = 9/16, 9/16 * 80/81 = 5/9
Then lastly, 5/9 * 99/100 = 11/20