Equivalent Fractions

Introduction

Equivalent fractions can be useful when working with fractions (e.g. adding, subtracting, comparing).[br][br]You may use the applet below to help you with the following questions.

Equivalent Fractions Applet

Question 1)

Which of the following are equivalent to [math]\frac{1}{3}[/math]?

[math]\frac{2}{6}[/math] [math]\frac{6}{18}[/math] [math]\frac{2}{4}[/math] [math]\frac{4}{9}[/math]

Question 2)

You are told that [math]\frac{3}{4}=\frac{?}{16}[/math] . What is the missing number?

4 16 12 3

Question 3)

You are told that [math]\frac{4}{7}=\frac{20}{?}[/math] . What is the missing number?

140 35 7 5

Question 4)

Assuming a fraction with whole numbers in the numerator and the denominator, which of the following are true?

[math]\frac{2}{5}[/math] has an equivalent fraction of the form [math]\frac{?}{12}[/math] [math]\frac{1}{8}[/math] has an equivalent faction of the form [math]\frac{?}{16}[/math] [math]\frac{1}{16}[/math] has an equivalent fraction of the form [math]\frac{?}{8}[/math] [math]\frac{8}{17}[/math] has an equivalent fraction of the form [math]\frac{12}{?}[/math]

Question 5)

What relationship is there between the denominators of equivalent fractions for a [i]simplified[/i] fraction?