FRACTIONS
Adding fraction with like denominators
1. Add the numerator
Multiplying Fractions
Subtracting Mixed Numbers
A fraction represents a part of a whole or,
more generally, any number of equal parts.
Equivalent Fractions
Adding Mixed Numbers
Simplest Form
You know it's the simplest form because the numerator and denominator can't be divided by something else anymore
Fraction:
that expression written above the line to indicate the number of parts of the whole.
Numerator
the expression written below the line that indicates the number of parts into which one whole is divided.
Denominator
14
32
Adding fraction with unlike denominators
2. What ever you multiply the denominator by do the same to the numerator
3. Than add the top number only because
the denominator doesn't change
Tips: Sometimes the lowest common
denominator is the denominators
times each other.
Subtracting fractions with unlike denominators
1. You find the lowest common multiple for the denominator
2. What ever you multiply the denominator by do the same to the numerator
3. Than subtract the top number only because the denominator
Tip: Sometimes the lowest common denominator is the denominator times each other.
2. Keep the denominator the same
7
15
3
15
15
10
Example:
1. Subtract the numerator
2. Keep the denominator the same
4
7
7
5
7
1
Multiple:
A number that can be divided by another number without a remainder
LCM (Least Common Multiple)
A number that is the lowest multiple of two different numbers
LCD (Least common Denominator)
A number that is the lowest denominator you can get when the denominator are unlike
2 4
4
+
6
2 4

0
Example:
Example:
Example:
3
12
+
4
2
12
5
6

3
2
6
1. Add the numerators together
2. Put the denominator under the numerator in your answer
3. Add the whole numbers normally and put the answer next to the fraction
Tip: The denominator stays the same
1. Subtract the numerators
2. Put the denominator under the numerator in your answer
3. Subtract the whole number normally and put the difference next to the fraction in your answer
Tip: The denominator stays the same
Difference:
the answer to a subtraction problem
34

5
=
29
Improper Fractions
Example:
An improper fraction is when the numerator is greater than the denominator
5
3
7
+
+
This method is called the "backward C"! In this method you multiply the denominator with the whole number. Then, you add the product and the numerator. The sum is your answer.
=
38
7
Fractions that are bigger or smaller, but are factors and multiplies of each other
2
1
=
2
4
=
4
8
7
21
=
1
3
7
7
.
.
.
.
Simplest Form means that the fraction is at its lowest form
Tip: you multiply across
1. You multiply the numerators
2. You multiply the denominators
Tip: Sometimes the answer is an improper fraction, so change it into an Mixed Number.
The denominator matters because instead of keeping it the same you multiply like in step 2!!
5
9
+
4
2
=
20
18
=
1
2
18
=
1
1
9
Multiplying Mixed Numbers
1. You change the mixed number into a improper fraction
2. Than multiply the numerators across
3. Multiply the denominators across
4. Change the answer back into a mixed number
1
2
5
+
2
4
7
7
5
18
5
+
=
25
18
7
+
5
126
126
=
5
25
1
25
126
+
+
5
125

1
Dividing Fractions
1. Divide the numerators across
2. Divide the denominators across
Tip: If you can't divide evenly than change the second fraction into a reciprocal.
Tip: Most of the time you'll need a reciprocal.
3
21
.
.
3
7
=
3
1
The denominator matters because instead of keeping it the same you multiply like in step 3.
Information Sources
Our teacher Ms. Williams
Google
Primary Knowledge
1. You find the lowest common multiple for the denominator
Mixed Numbers
A mixed number is when a normal fraction has a whole number with it or by its side.
1. Divide the denominator into the numerator
2. You put the remainder as the numerator
3. You keep the denominator the same and put it under the numerator in your answer
4. the number that says how many times the denominator goes into the numerator is the whole number you put by the normal fraction in your answer.
123
7
=
7
123
+
1
7

5
3
7
49

4
R4
17
4
7
Reciprocal
A reciprocal is when two numbers whose product is one
1
4
reciprocal is
Dictionary.com
4
1
1
3
:
7
9
1
3
+
9
7
=
9
21
=
3
7
3
.
_
.
3
.
_
.
Subtracting fractions with like denominators
By: Noa Bennafield
Miya Harris
Sum
is the answer to a addiction problem
27
+
8
=
27
8
+
1
5
3
35
Like Denominators
Denominators that are the same number
4
15
+
15
9
=
15
13
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FRACTIONS
Everything about fractions!!!!!!
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