Solve |a/b|=|a|/|b| - ScanMath

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Type your math problem... |a/b|=|a|/|b|

x

Question

Check the equality

b \neq = 0

Evaluate

\frac{a}{b} = ∣ a ∣ \div ∣ b ∣

Find the domain

More Steps

Evaluate

{b \neq = 0 ∣ b ∣ \neq = 0

Calculate

{b \neq = 0 b \neq = 0

Find the intersection

b \neq = 0

\frac{a}{b} = ∣ a ∣ \div ∣ b ∣, b \neq = 0

Rewrite the expression

\frac{a}{b} = \frac{∣ a ∣}{∣ b ∣}

Rewrite the expression

\frac{∣ a ∣}{∣ b ∣} = \frac{∣ a ∣}{∣ b ∣}

Cross multiply

∣ a ∣ ∣ b ∣ = ∣ b ∣ ∣ a ∣

Simplify the equation

∣ ab ∣ = ∣ b ∣ ∣ a ∣

Simplify the equation

∣ ab ∣ = ∣ ba ∣

Reorder the terms

∣ ab ∣ = ∣ ab ∣

Check the equality

true

Check if the solution is in the defined range

true, b \neq = 0

Solution

b \neq = 0

Show Solution

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