QuestionSimplify: (a) $\frac{\frac{1}{a}}{\frac{1}{b}}$

Studdy Solution

STEP 1

Assumptions1. $a$ and $b$ are real numbers. $a$ and $b$ are not equal to zero

STEP 2

We are given the expression $\frac{\frac{1}{a}}{\frac{1}{b}}$ . To simplify this, we can use the property of fractions that says dividing by a fraction is the same as multiplying by its reciprocal.
$\frac{\frac{1}{a}}{\frac{1}{b}} = \frac{1}{a} \times \frac{b}{1}$

STEP 3

implify the expression by multiplying the fractions.
$\frac{1}{a} \times \frac{b}{1} = \frac{b}{a}$ The simplified form of the given expression is $\frac{b}{a}$ .

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