Download Compare and using - Elgin Local Schools

* My goal is... to use knowledge of the least common multiple and lowest common denominator
to compare and order fractions.
When comparing fractions, we need to make them all similar fractions. What does this
mean again?
__________________________________________________________________
 So we need to have __________ ___________________________. In fact, we
want to use the _____________ ______________ _________________________,
or LCD, because that is less work and will make easier fractions to compare!
How do we find the LCD for two or more fractions? Well, we use the
LCM, of course!!
 _____________ ______________ _________________________, or LCM, is
the smallest multiple two or more numbers have in common.
 The multiples of a number are all products that result in multiplying that
number with the counting numbers.
Use the <, >, or = symbol to compare the fractions below. First you much find the Least
Common Denominator, or LCD. You must then rewrite the fractions so that they have
common denominators and adjusted numerators. Finding the LCD is the same as
finding the LCM.
Ex: Compare
1
4
and
2
9
using <, >, or =.
(The long way:)
Here is a hint to finding the LCD quicker in order to compare and order fractions:
5. Once you have found the LCD, you must rewrite the fractions with the common
denominators and adjust the numerators.
6. Once you create equivalent fractions with common denominators, you simply have to
compare the numerators to see which fractions are larger.
Just find the least common denominator:
o
𝑥
o
𝑥
o
𝑥
3
8
𝑥
𝑎𝑛𝑑
𝑥
𝑎𝑛𝑑
12
8
12
LCD = _____
24
𝑎𝑛𝑑
Compare
LCD = _____
9
𝑥
LCD = _____
10
5
and using <, >, or =.
8
Order these fractions from least to greatest:
order!
1
2
3
3
3
4
, , and
. Put the original numbers in
We can find the GCF of two numbers:
Ex: 6 and 10
We can find the LCM of two numbers:
Ex: 6 and 10
WHY don’t we ever find the GREATEST common
multiple? Or the LEAST common factor?
Math HW
Comparing and Ordering
Fractions
Name: _____________________________
Date: ______________________________
Period: ___________________
Math
HW #16
My GOAL is to use knowledge of the least common multiple and lowest common denominator to compare and
order fractions.
1.) What is the least common multiple of 8 and 10?
4
2
9
6
2.) Compare and using <, >, or =.
3.)
4.)
5.)
6.) Order these fractions from least to greatest:
order!
3
1
, , and
5 4
3
10
. Put the original numbers in
Fractions Review:
1)
Write the mixed number and the improper fraction.
2)
3)
Are these fractions equivalent?
5
15
and
15
75
Which of the following numerators would change the fraction
60?
A.
B.
C.
D.
1
5
into an equivalent fraction with a denominator of
5
12
6
15
4) Find the greatest common factor of the numbers below.
24, 45
5) 99 bottles of root beer were on the wall. Ms. Poduch’s singing shatters 45 of them. What fraction of the
bottles are not broken?
6) Write 3 equivalent fractions for each. Make sure one of your answers is the fraction in simplest form.
2
a)
4
4
b)
24