Solve x/2/40 x/2/50 - ( x/2/60 2/3 x/2/60)

Question

Simplify the expression

\frac{41}{182000}

Alternative Form

0.0002 \dot{2} 5274 \dot{7}

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x = 0

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x \in \emptyset

Evaluate

\frac{x}{2} \div (40 \times \frac{x}{2}) \div 50 - (\frac{x}{2} \div (60 \frac{2}{3} \times \frac{x}{2}) \div 60)

To find the roots of the expression,set the expression equal to 0

\frac{x}{2} \div (40 \times \frac{x}{2}) \div 50 - (\frac{x}{2} \div (60 \frac{2}{3} \times \frac{x}{2}) \div 60) = 0

Find the domain

More Steps

\frac{x}{2} \div (40 \times \frac{x}{2}) \div 50 - (\frac{x}{2} \div (60 \frac{2}{3} \times \frac{x}{2}) \div 60) = 0, x \neq = 0

Calculate

\frac{x}{2} \div (40 \times \frac{x}{2}) \div 50 - (\frac{x}{2} \div (60 \frac{2}{3} \times \frac{x}{2}) \div 60) = 0

Cancel out the common factor 2

\frac{x}{2} \div 20 x \div 50 - (\frac{x}{2} \div (60 \frac{2}{3} \times \frac{x}{2}) \div 60) = 0

Covert the mixed number to an improper fraction

More Steps

\frac{x}{2} \div 20 x \div 50 - (\frac{x}{2} \div (\frac{182}{3} \times \frac{x}{2}) \div 60) = 0

Multiply the terms

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\frac{x}{2} \div 20 x \div 50 - (\frac{x}{2} \div \frac{91 x}{3} \div 60) = 0

Divide the terms

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\frac{x}{2} \div 20 x \div 50 - (\frac{3}{182} \div 60) = 0

Divide the terms

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\frac{x}{2} \div 20 x \div 50 - \frac{1}{3640} = 0

Divide the terms

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\frac{1}{40} \div 50 - \frac{1}{3640} = 0

Divide the terms

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\frac{1}{2000} - \frac{1}{3640} = 0

Subtract the numbers

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\frac{41}{182000} = 0

Multiply both sides of the equation by LCD

\frac{41}{182000} \times 182000 = 0 \times 182000

Simplify the equation

41 = 0 \times 182000

Any expression multiplied by 0 equals 0

41 = 0

Solution

x \in \emptyset

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