Equivalent Fractions

Equilvalent Fractions are fractions

of

EQUAL

value.

So, if you ate 1/2 of the pizza, or 4/8 slices of a pizza, you ate the

SAME

AMOUNT

. 1/2 and 4/8 are equivalent.

To calculate Equivalent Fractions, just mulitiply the numerator and denominator by the same #!!! (you choose the #)

Try This...

Find Equivalent Fractions for the following:

a) 2/3 b) 4/7

Simplest Form:

A fraction is in

simplest form

when the numerator and denominator have no common factors.

Adding Fractions

With Like Denominators

When denominators are the same, adding fractions is Easy Peezie, Lemon Squeezie.

Now it's your turn:

a) 2/7 + 3/7 =

**Fractions**

**A**

Fraction

is part of a whole.

For example, if you ate 3 slices of a pizza, you ate a fraction (or part) of the whole pizza.

You ate 3/8 (Three Eigths, or 3 out of 8 slices)

In the fraction 3/8, the 3 is called the

Numerator

(top #) and the 8 is called the

Denominator

(bottom #)

Fraction

is part of a whole.

For example, if you ate 3 slices of a pizza, you ate a fraction (or part) of the whole pizza.

You ate 3/8 (Three Eigths, or 3 out of 8 slices)

In the fraction 3/8, the 3 is called the

Numerator

(top #) and the 8 is called the

Denominator

(bottom #)

Answers:

a) 2/3 = 4/6

Hint: Multiply the top and bottom #

by the same #

For 2/3, I multiplied both the 2 and the 3 by 2 to get 4/6

b) 4/7 = 40/70

For 4/7, I multiplied both the 4 and the 7 by 10 to get 40/70

Does it matter what # I

multiply the fraction by

when finding equivalent

fractions?

Just add the numerators, and leave

the denominator alone.

For example, 1/5 + 3/5 = 4/5

7/12 + 1/12 = 8/12

{which can be reduced}

{simplest form}

I know you're very excited

to try this out...

b) 3/10 + 6/10 =

c) 4/15 + 6/15 =

= 5/7

= 9/10

=10/15

which can be reduced to simplest form by dividing top and bottom # by 5. Sooooooooo,

10/15 in simplest form is 2/3

SubtractingFractions

with Like Denominators

This follows the same rules, but instead of adding the numerators, you subtract them.

a) 7/9 - 2/9 = 5/9

b) 10/15 - 3/15 = 7/15

Adding Fractions with Unlike Denominators

This is a neat trick