Converting:
Fractions, Decimals and Percents
Fractions:
Improper Fraction
13
4
Mixed Number
1
4
The Numerator (top #) is
bigger than the
Denominator (bottom #)
There is a Whole # with a
Fraction
You can convert
one to the other
and vice versa
1
4
Here is how:
Improper Fraction to Mixed Number
1. Divide the numerator (top #) by
the denominator (bottom #).
3 R1
4 13
-12
1
Mixed Number to Improper Fraction
1. Multiply the denominator (bottom #)
with the whole #.
2. Add the numerator (top #) to their product.
2nd Add 12 + 1 = 13
This is your
Remainder (Numerator))
This is the Whole #
So you will have:
The remainder
1
4
Whole #
1st Multiply 3 x 4 = 12
3. Take your answer from step 1 & 2
The denominator
(bottom #) stays
the same
and it becomes your numerator
(top #).
So you will have:
13
4
The
Denominator stays
the same
Fractions to Decimals:
♦ Divide the Numerator (top #)
by the Denominator (bottom #).
Answer:
Ex.
●
.8
Decimals to Fractions
♦ Think of a decimal as a “fraction” of 1
♦ To turn a decimal into a fraction we move
the decimal as many times to the right as needed
to make it a whole number. Put the # over a 1,
then add as many zeros next to it as the times
you moved your decimal.
ex. .7845 =
move 4 times
7845
10000
move
two times
add
add 4 zeros
Decimals to Percents
♦ Move your decimal 2 spaces
to the right.
Percents to Decimals
♦ Move your decimal 2 spaces
to the left.
two zeros
If you forget what way to
move, ask yourself where
the % sign usually goes and
move your decimal
Towards the sign.
If you forget what way to
move, think that you want to
move away from the % sign.
Therefore you have to move to
the left.