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

Question

Illustrate and explain how you would introduce division of fractions by modeling

\frac{3}{4} - : \frac{1}{6}

with Fraction Bars.

Answer 1

Step 1

The given expression is $\frac{3}{4} - : \frac{1}{6}$ . Note that, $\frac{3}{4} represents three fourth and \frac{1}{6}$ represents one sixth. Draw the fraction bars for $\frac{3}{4} a n d \frac{1}{6}$ 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, $\frac{3}{4} - : \frac{1}{6} = \frac{3}{4} \times \frac{6}{1}$
$= \frac{18}{4}$
$= \frac{9}{2} or 4 \frac{1}{2}$ So, the answer for the given expressionusing fractionbars can be drawn as follows. $\frac{1}{4} \frac{1}{4} \frac{1}{4} . . .$
$\frac{3}{4} - 6 \frac{1}{6} = 4 \frac{1}{2} or 4 + \frac{1}{2} 1111 \frac{1}{2} \dots \dots$
$\frac{1}{6} . . . . . . . . . . . . . . .$

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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