Multiplying and Dividing Fractions

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Questions and Answers

A number line from 0 to 3 is divided into six equal parts. The first two parts are shaded. Which expression accurately represents the shaded portion?

$\frac{2}{6} \times 6$
$\frac{1}{3} \times 3$
$\frac{1}{6} \times 2$
$\frac{2}{6} \times 3$ (correct)

A pizza is divided into 6 slices. You eat one slice. Later, you eat another slice, each time from a whole pizza. If you consider that you only had 3 whole pizzas. Which expression correctly represents the fraction of the three pizzas you have eaten?

$\frac{2}{6} \div 3$
$\frac{1}{3} \text{ of } 3$
$\frac{1}{6} + \frac{1}{6}$
$\frac{2}{6} \text{ of } 1$ (correct)

Which of the following correctly calculates $\frac{1}{6} \times 3$?

$\frac{1 \times 3}{6 \times 3} = \frac{3}{18}$
$\frac{1 + 3}{6 + 1} = \frac{4}{7}$
$\frac{1 \times 3}{6 \times 1} = \frac{3}{6}$ (correct)
$\frac{1 \times 1}{6 \times 3} = \frac{1}{18}$

If a recipe calls for $\frac{1}{6}$ of a cup of sugar and you want to make 3 batches, how much sugar do you need?

<p>$\frac{3}{6}$ of a cup (B)</p> Signup and view all the answers

Which of the following scenarios can be represented by the expression '$\frac{1}{6}$ of 3'?

<p>Determining the amount of pizza you get if you eat one slice from a pizza cut into 6 slices, when there are 3 pizzas available. (B)</p> Signup and view all the answers

Flashcards

What is a Fraction?

Divide a whole into equal parts; the denominator indicates total parts, numerator indicates selected parts.

Multiplying by a Fraction

Multiplying a fraction represents taking that fraction 'of' a number, scaling it down.

Number Line Model

Visually representing fractions and multiplication on a line divided into equal segments.

Fraction 'of' a Number

Finding a fraction of a whole number means multiplying the fraction by that number. It also means to divide.

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Multiplying Fractions & Division

Multiplying a fraction by a whole number will give a result equivalent to dividing that number by the reciprocal of the fraction.

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Study Notes

The lesson is about multiplying and dividing fractions.
Determine which expressions or phrases can be used to represent the model.
Select all correct answers.
The options are 1/6 x 3 and 1/6 of 3.
Find the product of 1/6 x 3.

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Description

Explore multiplying fractions using visual models. Determine which expressions accurately represent the given fraction model. Find the product of 1/6 x 3.