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# Fractions and Decimals

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by

## Danielle Lourenco

on 7 January 2014

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#### Transcript of Fractions and Decimals

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.
With Like Denominators
When denominators are the same, adding fractions is Easy Peezie, Lemon Squeezie.
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 #)

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