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# Comparing Fractions Using LCM

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## Natalie Voss

on 30 July 2013

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#### Transcript of Comparing Fractions Using LCM

Comparing Fractions Using LCM
Try This Out!
Peter walked 3/4 of a mile and Brandon walked 1/4 of a mile. Which boy walked the farthest?

How do you know?

How would you write the answer using <, =, and >?
Moving On Up
Yesterday, we practiced finding the least common multiple of a set of numbers. Now we are going to take that knowledge and apply it to fractions! We'll be finding the Least Common Denominator (LCD).
Alan spent 2/5 of the weekend playing video games. Christina spent 1/3 of the weekend playing video games. Who spent more time playing video games?

Step 1: Find the LCM of the
denominators (LCD)
!
3:
5: LCM:
Step 2: Make an equivalent fraction for 2/5 and 1/3 with the LCM as the denominator for both.
2/5 becomes...
1/3 becomes...
Step 3: Answer the question, use <, =, or >.
Who spent more time playing video games?

DOL
Compare these fractions using <, =, and >. SHOW ALL THE STEPS!

1. 4/5 and 3/4

2. 7/10 and 5/6

3. 9/12, 5/8, and 1/2

4. Miguel read 2/3 of the books in his library, and Jhakya read 7/9 of the books in her library. If their libraries are the same size, which person read more books? SHOW YOUR WORK!

Amber ate 3/4 of a pie, and Amyah ate 2/3 of a pie. If both pies are the same size, which girl ate more pie?

Note: these fractions have
unlike
denominators, so it is more difficult to compare them. If both had a common, or
like
denominator, we could compare them as easily as we did with the walking example.
Let's Try It
To solve the 'pie' problem, we need to compare 3/4 and 2/3 using <, =, or >.

Step 1: Find the LCM of the
denominators
.

4: 4, 8, 12, 16, 20
3: 3, 6, 9, 12, 15, 18, 21

The LCM is:
12

Comparing 3/4 and 2/3
Step 2: Make an equivalent fraction for 3/4 and for 2/3 using your LCM as the new denominator for both (Least Common Denominator).

3/4 /12
2/3 /12

What did you get?
So which girl ate more?

How would you write that,
using <, =, or >?

Objective
I will be able to compare fractions
(<, =, or >) using the
Least Common Multiple (LCM).
Another Example!
Peanut Butter, try this one (Jelly coaches):
Compare 7/8 and 5/6

Jelly, try this one (Peanut Butter coaches):
Compare 3/4 and 5/7

If finished early
,
work on this problem:
Vincent watched 9/10 of a movie, and Jacky watched 12/15 of a movie. If the movies were the same length, who watched the most? Show your work!
Warm Up!

Make an equivalent fraction:
3/4 /8
4/5 12/

Find the least common multiple:
3 and 8
5 and 6

Independent Practice
Compare these fractions using <, =, or >. DO BOTH SETS!

If
summer

4/5 and 11/15 8/9 and 4/6 9/12 and 3/4

If summer is

not