Definitions
What are like fractions?
Like fractions have the same denominator.
1/5 + 3/5 =
4/5
5/9 - 2/9 =
3/9 or 1/3
1/10 x 2
2/10 or 1/5
4 divided by 1/2
What are unrelated fractions?
In an unrelated fraction- you cannot multiply the denominator by any whole number to get the other denominator
1/4 + 1/2 =
3/4
4/6 - 1/2
1/6
1/6 x 5
5/6
3 divided by 1/2
6
What are related fractions?
Fractions are related if you can multiply one denominator by any whole number to get to the other denominator?
2/5 + 3/4 =
23/20
3/4 - 1/3 =
5/12
3/8 x 10
Change into a mixed number
3 6/8 or 3 3/4
6 divided by 3/10
Do not leave as an improper fraction
20
Common denominator
A shared multiple of the denominator of more than one fraction
4/7 + 3/4 =
Put the improper fraction into a mixed number
1 9/28
6/7 - 2/3.=
4/21
3/8 x 3 x 8
9
7 divided by 3/4
Write into a mixed number
9 1/3
Reciprocal
two numbers are reciprocals if their product is 1
1/3 + 3/4 + 2/3 =
Put it into a mixed number and simplify
1 3/4
5/6 - 1/4 =
Simplify the fraction
3/4
9 x 1/2 x 7/9
Change into a mixed number
3 1/2
5 divided by 10/13
6 5/10 or 6 1/2