Transcript Comparing Fractions - Allentown School District / ASD Homepage

Comparing Fractions
We love
comparing
fractions!
What is a fraction?
A fraction is a number that stands for part of something. The
denominator tells how many equal parts are in the whole or set.
The numerator tells how many of those parts you’re talking about.
What fraction of pepperoni is on the slice of pizza?
1
6
numerator
denominator
The numerator 1 is the number of pepperoni
pieces on the slice of pizza. The denominator 6
is the number of pepperoni on the whole pizza.
How to Compare Fractions
Introducing:
◘ like fractions
◘ unlike fractions
Is it hard?
1
4
3
4
Sometimes you can compare fractions just
by looking at them
1
2
>
I’ll take
1
2
1
4
Fractions with Like Denominators
1
4
3
4
1
3
and
have the same denominator.
4
4
Fractions with the same denominators are like fractions.
The fractions
Comparing Fractions with Like
Denominators
Comparing fractions with like denominators is a lot like
comparing whole numbers
5
7
EXAMPLE: George walks 10 mile to school. Susan walks 10
mile. Who walks the greater distance?
When fractions have the same denominator, compare the
numerator.
7>5
so
Susan walks a greater
distance
7
10 >
5
10
That makes sense
because 7 of
something is more than
5 of something
More Comparing Fractions
When you have whole pieces,
you need to look at the
whole pieces and the
fraction pieces.
whole
whole
whole
11
2
<
22
4
Fractions with Unlike Denominators
1
4
3
8
1
3
and
have unlike denominators and unlike
4
8
numerators. Fractions that have unlike denominators are
unlike fractions.
The fractions
Comparing Fractions with Unlike
Denominators
You can compare fractions to see if they are the same or to see
which is greater or which is less.
Use Models
1
2
3
8
One half is greater than three eighths
Answer
1
2
>
3
8
Wow, this comparing
fractions
was fun and easy!