Equivalent Fractions have the same value even though they look different.

1/2

2/4

4/8

1/2

2/4

4/8

=

=

× 2

× 2

× 2

× 2

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.

DIVIDING FRACTIONS

Dividing fractions are the easiest to do and remember. You will need to know the K.F.C method.

K.

Keep the first fraction as it exactly is.

F.

Flip the second fraction e.g 2/1=1/2

C.

Change the sign from division to multiplication

Step 1.

Once you have KFC'd your fraction all you have to do is multiply: 2x1=2

3x2=6

Step 3: Simplify

You have not finished yet, there is one more step....

SIMPLIFY! Simplify means that you make the fraction into its simplest form and to do that you must divide the numerator and denominator by the same number.

Dividing with mixed fractions

1. Make the mixed fraction improper

3

4

**2**

Multiply

Add

11

4

**Step 2: KFC**

**Once you have changed it into an improper fraction, continue with the KFC method. There you have it!**

Adding Fractions

2

6

+

1

3

is there a mixed number?

yes

Convert to improper fraction

no

do they have an common denominator?

no

find the LCD and do what you did to the bottom, to the top

yes

add your numerators and keep your denominators the same

is your answer an improper fraction?

yes

convert to mixed number

is your answer in the lowest term?

no

reduce to the lowest terms

yes

you are done!

Mixed Number to Improper Fraction and vice versa

To change a mixed number to an improper fraction, you will need to multiply your denominator by your whole number, and then add the product to your numerator. The denominator of your improper fraction stays the same.

5

3

To change an improper fraction to a mixed number, you have to divide your numerator by your denominator. You will get a REMAINDER. The quotient of your equation is your whole number, your denominator stays the same, and your remainder is your new numerator.

9

4

2

1

4

9 divided by 4 equals 2 with a remainder of 1. You put that 1 over 4 as a fraction!

**Multiplying Fractions**

Step 1: Preparing the equation

The first step is to write out the question. If there is a mixed number in the equation, change it into a improper fraction.

**5**

2

4

=

4

22

x

2

11

x

2

11

Step 2: Simplify and multiply

Once you have prepared your fraction, check if you can cancel down the values first.

4

11

22

2

x

1

2

2

1

=

2x1

2x1

3

3

=

Step 3: Simplify

If you have a fraction, simplify it by finding the HCF of two numbers and then divide until the fraction is in its simplest form. In this case, we have 3/3. So simplified, 3/3 is 1 whole because 3 can go into 3 once.

3

3

÷

3

÷

3

=

1

Upeksha Galappaththie

Find the LCD of the denominators.

Change your numerators to suit.

Subtract, and keep your denominators

the same.

Simplify if needed.

**Subtraction**

How fractions relate to real-life applications

Fractions are used in everyday life in many things

We measure ingredients when we make cookies or lasagna

e.g an eighth of a cup of . . .

We divide the hour when we tell time

e.g it's a quarter past 7.

no

**Fractions**

1

Simplifying Fractions

If you have a fraction, simplify it by finding the numbers that both numerator and denominator can be divided by. Then divide until the fraction is in its simplest form.

If you have an improper fraction, change it into an mixed number by dividing the denominator. Have the quotient as your whole number and the remainder as your numerator. Keep your denominator the same.

3

2

1

+

3/4

=7/4

4/8

2/4

1/2

multiply

add

Bibliography

http://answers.yahoo.com/question/index?qid=20100611190629AA4aQdS

http://www.mathsisfun.com/equivalent_fractions.html

http://www.mathsisfun.com/improper-fractions.html

http://www.mathsisfun.com/simplifying-fractions.html