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Question
\frac{a}{2}-\frac{a}{8}=5
Solve the equation
a=\frac{40}{3}
Alternative Form
a=13.\dot{3}
Evaluate
\frac{a}{2}-\frac{a}{8}=5
Multiply both sides of the equation by LCD
\left(\frac{a}{2}-\frac{a}{8}\right)\times 8=5\times 8
Simplify the equation
More Steps
Evaluate
\left(\frac{a}{2}-\frac{a}{8}\right)\times 8
Apply the distributive property
\frac{a}{2}\times 8-\frac{a}{8}\times 8
Simplify
a\times 4-a
Use the commutative property to reorder the terms
4a-a
Collect like terms by calculating the sum or difference of their coefficients
\left(4-1\right)a
Subtract the numbers
3a
3a=5\times 8
Simplify the equation
3a=40
Divide both sides
\frac{3a}{3}=\frac{40}{3}
Solution
a=\frac{40}{3}
Alternative Form
a=13.\dot{3}
Show Solutions
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