SOLUTION: Express the following as single fraction in it's simplest form. 3x/4+2(1-3x)/5

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Question 687726: Express the following as single fraction in it's simplest form.
3x/4+2(1-3x)/5
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming this is how the question looks in your textbook:

%283x%29%2F4%2B%282%281-3x%29%29%2F5

First, determine the LCD of your 2 fractions. The first multiple each of the denominators have in common is 20. So, change each denominator to 20, and multiply the numerator of your first fraction by 5, and the numerator of your second fraction by 4:

%28%285%2A3x%29%2F20%29%2B%284%282%281-3x%29%29%2F20%29, giving us

%28%2815x%29%2F20%29%2B%28%288-24x%29%2F20%29

Combine everything in the numerators, and place over our denominator, giving us our final answer in simplest form:

%28-9x%2B8%29%2F20