# Equivalent fractions

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##### Intros
###### Lessons
1. Introduction to Equivalent Fractions
2. What are equivalent fractions?
3. What are fractions in lowest terms (simplest form)?
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##### Examples
###### Lessons
1. Equivalent fractions on number lines
Write the equivalent fractions shown on the number line. Use the equal (=) sign in the answer.
2. Equivalent fractions: fill in the blank
Write the missing value to make the fractions equal.
1. $\large \frac{1}{2}$ = $\large \frac{?}{18}$
2. $\large \frac{?}{3}$ = $\large \frac{14}{21}$
3. $\large \frac{1}{4}$ = $\large \frac{25}{?}$
4. $\large \frac{4}{?}$ = $\large \frac{16}{20}$
1. $\large \frac{2}{20}$ = $\large \frac{?}{?}$
2. $\large \frac{70}{140}$ = $\large \frac{?}{?}$
3. $\large \frac{16}{24}$ = $\large \frac{?}{?}$
4. $\large \frac{27}{36}$ = $\large \frac{?}{?}$
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###### Topic Notes

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