Adding Fractions
to add fractions they must have the same ______.
What is denominator?
When subtracting fractions with unlike denominators you must first find the..?
Find the Least Common Denominator
OR
Find the Denominator
The answer to a multiplication problem is called a....
Product
Fractions that have a common denominator are also called...
Like fractions.
For example 1/7, 3/7 & 2/7 are all like fractions with a common denominator. You must have a like fraction before you can add or subtract fractions.
Draw out a factor tree for this problem:
15 = _ X _
15
/ \ 15 = 3 x 5
3 5
1/2 + 5/2
6/2 or 3
4/5 -3/5
1/5
8 x 2/3 =
16/3
OR
5 and 1/3
What are equivalent fractions?
Fractions that look differently but have the same value. For example: 1/2 = 5/10
or
1/3 = 2/6
Draw out a factor tree for this problem:
14 = _ X _
14
/ \
2 7 14 = 2 X 7
When adding fractions with a common denominator, what do you do with the numerators?
Add them together and keep the denominator the same.
When subtracting fractions with a common denominator, what do you do with the numerators?
What is the opposite or the inverse operation of multiplication?
Division
The top part of a fraction that tells how many pieces you are talking about is called a_______.
Numerator
Draw out a factor tree for this problem:
12 = _ x _ x _
12
/ \
2 6 12 = 2 x 2 x 3
/ \
2 3
4 1/2 + 6 5/2
13 or 10 6/2
3/4 - 2/8
4/8 or 1/2
1/2 and 2/4 are what kind of fractions?
Equivalent Fractions.
The bottom portion of the fraction that tells how many equal pieces there are total is called the __________.
denominator
Draw out a factor tree for this problem:
20 = _ x _ x _
20
/ \
2 10 20 = 2 x 2 x 5
/ \
2 5
When adding fractions with unlike denominators you find the Least Common Denominator, then make..?
Equivalent fractions
or
Common Denominator
What is the value of the fraction if it has the same numerator and denominator? For example 45/45?
The value of the fraction becomes 1.
For example: 45/45 = 1
When multiplying two fractions, how do you begin? What direction do you move?
Multiply Left to Right for both numerators and denominators.
Before we can add or subtract fractions, we must have a common....
denominator
Draw out a factor tree for this problem:
27 = _ x _ x _
27
/ \
3 9 27 = 3 x 3 x 3
/ \
3 3