Equivalent Fractions
What is the definition of "equivalent fractions?"
Fractions that have different numerators and denominators but are equal to the same value.
x/3 = 21/27
This can't be done, because they are not equivalent fractions.
Simplify
6/11
6/11
There was a pizza in the staff lounge. The 4th grade teachers ate
6/12
of the pizza and the 5th grade teachers ate
2/4
of the pizza. Who ate more pizza?
They both ate
1/2
of the pizza.
Find a common denominator
8/12 and 25/30
60
Find a common denominator for these fractions.
5/16, 3/4, 7/12
48
Name the two fractions that are equivalent:
2/6, 1/4, 4/12, 4/8
2/6, 4/12
x/3 = 12/18
2/3 = 12/18
Simplify
14/42
1/3
Compare
6/8 and 4/8
6/8>4/8
Order the fractions from least to greatest:
5/8, 3/8, 1/8
1/8, 3/8, 5/8
What is the name for values such as
1/2 and 1/15
in which the numerator is 1?
Unit Fractions
Name 2 fractions that are equivalent to
1/3
5/x = 25/30
5/6 = 25/30
Simplify
9/15
3/5
Compare
3/7 and 3/9
3/7 > 3/9
Order the fractions from greatest to least:
2/5, 2/3, 2/8
2/3, 2/5, 2/8
What is the name for fractions whose numerator is greater than the denominator?
Improper Fractions
How do you find equivalent fractions?
By multiplying or dividing the numerator and the denominator by the same number.
7/12 = x/48
7/12 = 28/48
Simplify to it's lowest terms...
6/22
3/11
Compare
7/16 and 1/2
7/16<1/2
Order from least to greatest by finding a common denominator.
5/6, 2/3, 3/5
3/5, 2/3, 5/6
When do you know a fraction is in simplest form?
When the numerator and denominator only have 1 as a common factor. Or when you can only divide the numerator and denominator by 1.
Are the following fractions equivalent:
8/36 and 2/9
Yes, they are equivalent
7/x = 1/3
7/21 = 1/3
Simplify to it's lowest terms...
49/63
7/9
Which fraction is smaller?
5/6 or 4/5
4/5
Order from greatest to least by finding a common denominator.
4/5, 1/2, 9/10
9/10, 4/5, 1/2
What do we call a fraction that looks like this...
3 7/8
Mixed Number