Arithmetic Grade Six
Lesson Ninety-two: Equivalent Fractions
Equivalent Fractions
Here's a list of fractions which are equivalent to
two-fifths.
2 4 6 8 10 12 14 16
--- ---- ---- ---- ---- ---- ---- ----
5 10 15 20 25 30 35 40
You should notice a pattern between the numerators and the denominators.
In the next activity you will fill in the missing fraction. Let's say that
you are given this sequence:
What is the missing fraction in this sequence? You should notice that a
pattern exists between the numerators and the denominators:
1 2 3 4
2 4 ? 8
--- --- --- ----
3 6 ? 12
To find the missing fraction we multiply the numerator and the denominator
of the first fraction by 3.
2 3 6
--- x --- = ---
3 3 9
Here's another example:
1 2 3 4
3 6 ? 12
--- --- --- ----
4 8 ? 16
To find the missing fraction we multiply the numerator and the denominator
of the first fraction by 3.
3 3 9
--- x --- = ---
4 3 12
Here's one more example:
1 2 3 4
2 ? 6 8
--- --- --- ----
7 ? 21 28
To find the missing fraction we multiply the numerator and the denominator
of the first fraction by 2.
2 2 4
--- x --- = ---
7 2 14
You get to try some of these on the next page.
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