Let's simplify and divide the given fractions step-by-step.
The given expression is:
\[ \frac{4}{2x} + \frac{2}{8} / \frac{3x}{3} \]
First, simplify each fraction individually:
1. Simplify \(\frac{4}{2x}\):
\[ \frac{4}{2x} = \frac{4}{2 \cdot x} = \frac{4 \div 2}{2x \div 2} = \frac{2}{x} \]
2. Simplify \(\frac{2}{8}\):
\[ \frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4} \]
3. Simplify \(\frac{3x}{3}\):
\[ \frac{3x}{3} = \frac{3x \div 3}{3 \div 3} = \frac{x}{1} = x \]
Now, substitute these simplified fractions back into the original expression:
\[ \frac{2}{x} + \frac{1}{4} / x \]
To divide by \(x\) (which is the same as multiplying by the reciprocal \(\frac{1}{x}\)):
\[ \frac{2}{x} + \frac{\frac{1}{4}}{x} \]
Simplify this expression:
\[ \frac{2}{x} + \frac{1}{4} \cdot \frac{1}{x} = \frac{2}{x} + \frac{1}{4x} \]
Combine these fractions:
\[ \frac{2}{x} + \frac{1}{4x} = \frac{8}{4x} + \frac{1}{4x} \]
Find a common denominator and add them together:
\[ = \frac{8 + 1}{4x} = \frac{9}{4x} \]
So the final, simplified answer is:
\[ \frac{9}{4x} \]
divide these fractions and simplify the answer.
4/2x+2/8/3x+3
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