Evaluate 3 1/6 + 8 2/9 - 1 1/2
1 answer:
Hello! And thank you for your question!
First to make the question more easy to understand. We are going to make these three fractions improper fractions.
To do this I will give an example. 3 1/6. Do 6*3+1=19/6
Equation after made improper:
19/6 + 74/9 - 3/2
Now that we have this we can find the answer!
-------------------------------------
Work:
First you are going to find the LCD. And change all the numbers denominators to that LCD.
LCD = 18
Equation After incorporating LCD:
57/18 + 148/18 - 27/18
Second we are going to add all of the numerators together to get:
178/18.
Then simplify 178/18 to get:
89/9
Then convert 89/9 to a mixed fraction:
9 8/9
Final Answer:
9 8/9
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1) 10x + 9
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Hello!

Use the Pythagorean Theorem to solve for the hypotenuse:
a² + b² = c²
Plug in the given values:
12² + 4² = c²
144 + 16 = c²
160 = c²
Take the square root of both sides:
c = √160
c ≈ 12.65.