1. 7 . 2 – Equivalent fractions
Equivalent fractions are fractions that name the same amount. 2 4 = 8 4

2. Equivalent fractions represent the same part of the whole

4. an equivalent fraction?
But…
How can we make
an equivalent fraction?

5. Making
Equivalent Fractions

6. To Make Equivalent Fractions
Multiply the numerator and denominator by the same number.
You will get a new fraction with the same value as the original fraction.
We are not changing the value of the fraction, because we are simply multiplying by a fraction that is equivalent to ONE.

7. What do you get when you multiply a number by 1?
You get that number!
5 x 1 = 5
7 x 1 = 7
37 x 1 = 37
23 x 1 = 23
17 x 1 = 17

8. All these fractions = 1 7 2 33 4 5 When the numerator &
denominator of a
fraction are the same,
the fraction
equals 1. 33 4 5

9. AN EQUIVALENT FRACTION adding & subtracting fractions
What do you get when you multiply a fraction by 1?
You get
AN EQUIVALENT FRACTION
that makes
adding & subtracting fractions
possible.

10. These fractions represent the same amount.x =
This fraction equals 1. =
These fractions represent the same amount.

11. These fractions represent the same amount.x =
This fraction equals 1. =
These fractions represent the same amount.

12. Give an equivalent fraction to:

13. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 3 =
We multiplied the numerator
and denominator by ...
x 3 3

14. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 4 =
We multiplied the numerator
and denominator by ...
x 4 4

15. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 9 =
We multiplied the numerator
and denominator by ...
x 9 9

16. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator? ?
x 3 =
We multiplied the numerator
and denominator by ...
x 3 3

17. AN EQUIVALENT FRACTION
What do you get when you divide a fraction by 1?
You get
AN EQUIVALENT FRACTION

18. If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor. 4 28
÷ 7
In this example, we can divide both numbers by 7. =
÷ 7 5 35
28/35 is equivalent to 4/5.

19. 9 18
÷ 2 =
÷ 2 15 30 6 18
÷ 3 =
÷ 3 10 30

20. 3 18
÷ 6 =
÷ 6 5 30 3 12
÷ 4 =
÷ 4 5 20

21. Fractions in Simplest Form
Fractions are in simplest form when the numerator and denominator do not have any common factors besides 1.
Examples of fractions that are in simplest form: 4 2 3 8 5 11

22. Writing Fractions in Simplest Form.
Find the highest common factor (HCF) of the numerator and denominator.
Divide both numbers by the HCF.

23. Example: 5 20
÷ 4 =
Simplest Form 7 28
÷ 4

24. Make Equivalent Fractions Find the Missing Numerators!
Try these on your own.
Make Equivalent Fractions Find the Missing Numerators! 44 12 A C = = 55 42 45 28 = D B = 54 63

25. CLICK HERE
to try
Adding & Subtracting
Fractions