6.CI 2-Video 1
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Hi guys.
Welcome to our section,
How to compare fractions?
In this video, we're going to learn
how to figure it out
which fraction is greater.
Anytime you have two fractions,
such as these two,
you're going to go ahead
and multiply
the denominator with the numerator of the opposite fraction.
For example,
4 times 5
is equals to 20.
Then do the same for the other one.
7 times 3 is equals to 21.
Now that you have these, you ask yourself
which one is greater, 21 or 20?
Since, 21
that belongs to this fraction,
that means that
three fourths is greater than 5 over 7.
Let's do another one.
Let's say, you have
this example.
Can you tell me which one is greater?
All right!
Remember.
I'll do it.
11 times 4
which is 44,
and then I do,
10 times 7 which is
70.
Which one is greater?
70 or 44?
You got the answer!
Ten elevenths is greater than four sevenths.
Now, what about
if we make this
a little bit harder.
Let's do it with negative numbers or negative fractions.
How do I do this?
Let's do it.
7 times negative 3 is negative 21.
And, then
negative 9 times 5 is negative 45.
Can you tell me which one is greater?
Don't forget.
Negative 21 is greater than negative 45,
because,
negative 21 is closer to the 0 than negative 45.
My answer is going to be
negative 9 over 7 is less than negative 3 over 5.
Beautiful!
Let's do another one.
Can you tell me which one is greater?
I'm going to wait for your answer.
And, can you tell me which one is greater?
Negative 4 or Negative 3?
I know you just said that
negative 3 is greater than negative 4.
Therefore, my answer is
this fraction is less than this other fraction.
Beautiful!
Thank you so much for watching!