Fractions: Unit 10
Vocabulary:
Equivalent Fractions: fractions that name the same part
of a whole. Division facts you know will help you find
Simplest Form: a fraction with a numerator and
If the 2 fractions have the same denominator, the
denominator that cannot be divided by the dame divisor
4 and 2
1 1
6 1 3 1
6 1
6 1 3 6
If the 2 fractions have the same numerator, the
3
are equivalent fractions.
1
6 The simplest form of
4
is
6
2
3.
Comparing Fractions with the
Same Denominators:
one with the smaller denominator is larger.
You can always draw your benchmark fractions
or use fraction bars to help!
Comparing Fractions with the
Same Numerators:
How can you compare fractions with the same
When you compare fractions with the same numerator,
denominator? Look at Ms. Sunny’s gardens. She has
you can use fraction bars to help you. Look to see
planted ⅖ of one and ⅘ of another.
… … … …
.. .. … … … … … … … …
.. .. .. .. You can see that the garden that is ⅘ planted has more
plants than the garden that is ⅖ planted. Four fifths is
greater than two fifths.
one with the larger numerator is bigger.
adf You can compare benchmark fractions using the
denominator or the numerator to help.
equivalent fractions.
except one. Comparing Benchmark
Fractions:
⅘ > ⅖ which faction piece is smaller.
1 1 smaller
3 1 larger
2 You can also think about how you cut the whole into
pieces. If you have to share three pieces, you get a
smaller portion than if you have to share with two. Fractions: Unit 10
Comparing Fractions on the
Number Line:
Equivalent Fractions
on the Number Line:
You can use the number line to compare fractions. Let’s use ⅓
You can use a number line to show equivalent
and ⅔ as examples.
fractions like 1/2 and 2/4.
The further to the right a fraction is on the number line, the
greater (or larger) the fraction.
0 adf ⅓ 0 ⅔ 1 4 2 4 3 4 1 1 2 1 Equivalent fractions are different names for the
On the number line, ⅔ is farther to the right than ⅓.
same point on the number line.
⅔>⅓
two-thirds is greater than one-third
Whole Numbers and Fractions:
You can use fraction strips to help you make fractions
that are equal to whole numbers (like 1, 2, 3, etc.).
1
½
½
½
½
½
½
Two fraction strips equal one whole. If we count our
strips above, we have 6 or 3 whole strips.
2
If you have the same numerator and denominator, you
have the whole number 1.
Ordering Fractions:
Danny, Josh, and Paulo are going out for pizza. The
fraction bars below show how much they ate. You can
also compare the bars.
1
Danny:
Josh:
¼
⅕
¼
⅕
¼
⅕
⅕
Paulo:
⅛ ⅛ ⅛ ⅛ ⅛ ⅛
In order from least pizza to most pizza eaten: Paulo,
Danny, and Josh.