Equivalent Fractions
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:
![Equivalent Fractions](https://dmn92m25mtw4z.cloudfront.net/img_set/math5-8-3-x-1/v1/math5-8-3-x-1-651w.png)
- 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](https://dmn92m25mtw4z.cloudfront.net/img_set/math5-8-3-x-2/v1/math5-8-3-x-2-651w.png)
- 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
![Equivalent Fractions](https://dmn92m25mtw4z.cloudfront.net/img_set/math5-8-3-x-3/v1/math5-8-3-x-3-598w.png)
- 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
![Equivalent Fractions](https://dmn92m25mtw4z.cloudfront.net/img_set/math5-8-3-x-4/v1/math5-8-3-x-4-246w.png)