Students will learn how to write
fractions/ratios and equivalent
fractions/ratios. They will also learn
how to write fractions/ratios in
Top number: Numerator – is the
counting number. It is a multiplier. It
tells how many parts we have.
Bottom number: Denominator –
indicates by what number the whole
has been divided in. Therefore it is a
divisor. (cannot equal 0)
as a count of three things
is three times what you get
when you divide a whole
into four parts
Name the fractions
Another way to compare two numbers
is a Ratio.
The Ratio of a number a to a nonzero
number b is the quotient when a is
divided by b.
A ratio can be expressed three ways:
• Using the fraction bar (division line)
• Using a colon symbol as in 3 : 5
• Using the “to” as in 3 to 5.
Write the ratio of 2 flutes to 16
clarinets in 3 ways.
(Hint: What you read first goes first.
What you read second goes second.)
Fractions/ratios are considered
equivalent if they represent the
To find equivalent fractions/ratios
multiply or divide the numerator and
denominator by the same nonzero
A fraction/ratio is in simplest form
when its numerator and denominator
cannot be divided by anything
except 1. (GCF = 1)
To simplify a fraction/ratio divided
both the numerator and denominator
by their GCF.
Write the fraction/ratio in simplest
12 : 16