Illustrate and explain how you would introduce division of fractions by modeling frac{3}{4} -: frac{1}{6} with Fraction Bars.

Illustrate and explain how you would introduce division of fractions by modeling $\frac{3}{4}-:\frac{1}{6}$ with Fraction Bars.
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Step 1

The given expression is $\frac{3}{4}-:\frac{1}{6}$. Note that, $\frac{3}{4}\text{represents three fourth and}\frac{1}{6}$ represents one sixth. Draw the fraction bars for $\frac{3}{4}and\frac{1}{6}$ as follows. $\frac{3}{4}=\frac{1}{4}\frac{1}{4}\frac{1}{4}...$
$\frac{1}{6}=\frac{1}{6}...............$

Step 2

Recall that, the rule for dividing fractions that, “When dividing fractions, take the reciprocal of the second fraction, then multiply. That implies, $\frac{3}{4}-:\frac{1}{6}=\frac{3}{4}×\frac{6}{1}$
$=\frac{18}{4}$
So, the answer for the given expressionusing fractionbars can be drawn as follows. $\frac{1}{4}\frac{1}{4}\frac{1}{4}...$

$\frac{1}{6}...............$

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