Teach Students about equivalent fractions This free teaching resource is from Innovative Teaching Resources. You can access hundreds of their excellent resources here. https://www.teacherspayteachers.com/Store/Innovative-Teaching-Ideas

1. Prepared by
Ilaxi & Piyush
©2014 Brilliant Classes by piyush

2. • This section introduces the idea of equivalent
fractions.
• These are fractions which appear differently
but have the same value.
• We can see that the fraction shaded in the
left-hand shape is 1/2 , and the fraction
shaded in the right-hand shape is 2/4.
• The same proportion of the shape is shaded
in total, so these two fractions must be the
same.
©2014 Brilliant Classes by piyush

3. • These fractions have the same value, but use
different numbers.
• We can see that,
• 1/1 = 2/2 = 4/4 = 8/8
• They are equivalent fractions
1 whole
½ ½
¼¼¼¼
1/8
1/8
1/8
1/8
1/8
1/8
1/8
1/8
©2014 Brilliant Classes by piyush

4. ½
¼¼
1/8
1/8
1/8
1/8
Which fractions are equivalent to ½?
1 whole
1/2 = 2/4 = 4/8
©2014 Brilliant Classes by piyush

5. 4/8 = 2/4 = 1/2
(Four-Eighths) (Two-Quarters) (One-Half)
• It is usually best to show an answer using the
simplest fraction ( 1/2 in this case ). That is called
Simplifying the Fraction.
©2014 Brilliant Classes by piyush

6. Equivalent fractions can be found by multiplying or
dividing both the numerator and the denominator
by the same number.
when the same numerator and denominator in a
fraction, it always equals. when you multiply or
divide a number by 1 you get the same number.
So as long as we multiply or divide both the top and the
bottom of a fraction by the same number, it's just the same
as multiplying or dividing by 1 and we won't change the
value of the fraction.
©2014 Brilliant Classes by piyush

7. • Look at the diagram. Both the numerator (the
top number) and the denominator (the bottom
number) have been multiplied by the same
value, the value doesn't change.
©2014 Brilliant Classes by piyush

8. • Divide the top and bottom by the same
number to create an equivalent fraction as
shown below.
©2014 Brilliant Classes by piyush

9. • There is a formula you can use to determine if
two fractions are equivalent. It's called the cross
multiply rule.
• If you get confused on what to do, just remember the
name of the formula: "cross multiply". You are
multiplying across the two fractions like the blue "X"
shown in the example.
©2014 Brilliant Classes by piyush

10. • This formula says that if the numerator of one
fraction times the denominator of the other
fraction equals the denominator of the first
fraction times the numerator of the second
fraction, then the fractions are equivalent.
• In this example fractions are equivalent.
©2014 Brilliant Classes by piyush

11. Are 1 and 3 equivalent fraction?
Explain.
2 7
1 3
1 × 7 = 2 × 3
7 = 6
These fraction are not equivalent.
©2014 Brilliant Classes by piyush

12. • Comparing Fractions helps to know one fraction
is bigger than another
• In some cases it's easy to tell one fraction is
bigger than another
• For example, after working with fractions for a
while, you probably know that ½ is bigger than
¼.
• It's also easy to tell if the denominators are the
same.
• Then the fraction with the larger numerator is
bigger.
©2014 Brilliant Classes by piyush

13. • sometimes it's difficult to tell which is
bigger just by looking at two fractions.
• In these cases you can use cross
multiplication to compare the two
fractions.
• Here is the basic formula:
a c a × d
b d b × c
if a × d is > than b × c
then a is > c
b d
©2014 Brilliant Classes by piyush

14. For example 1 and 3
2 7
1 3
2 7
1 × 7 = 2 × 3
7 > 6
1 > 3
2 7
©2014 Brilliant Classes by piyush

15. ©2014 Brilliant Classes by piyush