# Equivalent fractions

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##### Intros

###### Lessons

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##### Examples

###### Lessons

**Equivalent fractions on number lines**

Write the equivalent fractions shown on the number line. Use the equal (=) sign in the answer.**Equivalent fractions: fill in the blank**

Write the missing value to make the fractions equal.- Write the fraction in lowest terms.

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##### Practice

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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 cant anymore

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