# Equivalent fractions

### Equivalent fractions

#### Lessons

In this lesson, we will learn:

• How to find equivalent fractions using models
• How to find equivalent fractions using multiplication (and division)
• How to find fractions in lowest terms (simplest form)

Notes:

• Equivalent fractions are fractions with the same value even though they look different (top and bottoms are not the same numbers)
• This can be proven by showing fraction models
• By using the same whole shape and splitting into different numbers of equal parts, all the shape models have the same proportion of shaded area:
• By lining up number lines on top of each other, all the number line models show the dot representing the fractions on the same point along the line
• Equivalent fractions have the same value because they take the same fraction (proportion) and multiply BOTH the top and bottom by the same number; the value does not change
• Fractions in lowest terms (or simplest form) are the smallest equivalent fraction
• Divide the top and bottom by the same common factor until you can’t anymore
• Introduction
Introduction to Equivalent Fractions
a)
What are equivalent fractions?

b)
What are fractions in lowest terms (simplest form)?

• 1.
Equivalent fractions on number lines
Write the equivalent fractions shown on the number line. Use the equal (=) sign in the answer.
a)

b)

• 2.
Equivalent fractions: fill in the blank
Write the missing value to make the fractions equal.
a)
$\large \frac{1}{2}$ = $\large \frac{?}{18}$

b)
$\large \frac{?}{3}$ = $\large \frac{14}{21}$

c)
$\large \frac{1}{4}$ = $\large \frac{25}{?}$

d)
$\large \frac{4}{?}$ = $\large \frac{16}{20}$

• 3.
a)
$\large \frac{2}{20}$ = $\large \frac{?}{?}$

b)
$\large \frac{70}{140}$ = $\large \frac{?}{?}$

c)
$\large \frac{16}{24}$ = $\large \frac{?}{?}$

d)
$\large \frac{27}{36}$ = $\large \frac{?}{?}$