# Fractions and Mixed Numbers in TI-30XS Multiview Calculator

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Hi Everyone. I want to show you
how you can use your calculator
to simplify fractions, multiply fractions,
and add or subtract fractions and mixed numbers
So, I have three little problems that I picked from Unit 3
and we're just going to go through them one at a time.
So, let's take a look at the first problem.
How do I simplify the fraction to lowest terms
and the fraction is negative 30 over 165?
So, I'm going to grab my calculator.
And notice that this is the calculator we recommend for the course.
As I enter the different numbers
and operations in this calculator, on the right side you'll notice
the key sequence that I'm pressing to get my answer.
So, hopefully, that will help you too.
Alright, so the first thing I'm going to do is enter
a negative sign, so notice
next to the Enter button on your calculator
the dash that's inside the parentheses,
that's actually the negative sign
so, we'll select that first.
and then I need to enter the fraction 30 over 165.
Now if you take a look here where it says
n over d, okay, the "n" stands for numerator and the "d"
stands for denominator. And that's your fraction button.
If I select it, two boxes appear.
And there is a blinking cursor in the top.
That's prompting me to enter the number, in this case 30.
Now the blinking cursor is still in the top, so I need to move
that blinking cursor to the bottom, the denominator of the fraction.
So, I'm going to use my down-arrow. So come over here to this dial.
Select the down-arrow, and your blinking cursor
has now moved to the denominator.
Type in 165.
Now your blinking cursor is still in the bottom of your fraction
and I want to move it over here to the right side
because sometimes we have to add or subtract or continue on
with an operation
So, it's just a good idea to move the blinking cursor out of the denominator
So, I'm going to use my right-arrow key
and you'll notice that your blinking cursor is now to the right-side
of the fraction
Double-check everything. It looks pretty good.
I have a -30 over 165 which is what I want.
So I'm going to hit Enter.
and my answer -- the reduced answer -- to the
fraction is a -2 over 11.
Okay. This is the fraction in lowest terms.
So, this would be our answer.
Okay, let's take a look at another problem.
So, the second problem I have for you
is how to multiply fractions in your calculator
In fact, I want to multiply AND simplify
the answer to this problem
in lowest terms
So, let's multiply 3/5 by 10/11.
I'm going to grab my calculator.
Now, everything, all of the key sequences
are still showing for the last problem
So, I"m going to hit Clear
and that will clear everything out of the screen in my calculator
I'm also going to -- for myself --
clear the keys over here on the right side
so they aren't confusing for you.
Alright, so let's try this problem.
3/5 so I have to enter the fraction
So, I'm going to select my fraction key "n/d"
Enter 3 in the numerator
Use your down-arrow key to put a 5 in the denominator
and then, once again, I need to be really careful.
I need to move that cursor outside
of the fraction, so
use your right-arrow to move to the right
I'm going to select "times."
Now you'll notice that your calculator will use an * for a time sign
which is perfectly acceptable.
and then I'm going to enter another fraction.
so I need to select the "n/d" key
I'm going to type in 10, select the down-arrow key, enter my
denominator which in this case is an 11
and once again use your right-arrow key to move to the right side
Double-check everything. Make sure there are no typos
in your problem, and then hit Enter.
You'll notice that your answer is 6/11.
So, this will be the answer to the second problem.
Okay, let's try another.
The last problem I have for you
is a word problem and it involves
mixed numbers. So, in this problem
A contractor ordered two loads of gravel.
The orders were for 3 1/2 tons and
2 1/8 tons. What is the total amount of gravel ordered?
So, the first thing we have to decide is
really... what operation are we doing to use?
Should we add, subtract, multiply, or divide?
Well, because the contractor ordered two loads of gravel
and we want to find out the total amount of gravel ordered,
to me, this means I need to add the first order
to the second order.
So, this is going to be an addition problem.
When I finish adding, my answer will be in "tons."
And I'll need to make sure I write my answer with a label in a word problem.
Alright, so let's try this in the calculator.
I'm going to clear out the calculator. I'm going to
clear out the key sequence on the right so that
it's not confusing. So, let's go ahead and
do this one. So, to enter a mixed number
what I'm going to do is I'm going to go ahead and
enter the "whole" part of the number first.
So if I want to enter 3 1/2, I'll enter the "3"
now the next thing I need to do is attach the fraction
but I can't just go ahead and select the "n/d" key.
If I did, look what happens.
The 3 goes in the numerator.
So, let me clear that out and I'll show you the real way to do it.
I'll even clear out the key press history here.
Okay, so I want to enter 3 1/2.
Enter the whole number first. Then, to attach the fraction, I'm going to use
this lime green 2nd key on my calculator.
Even the little word 2nd will appear on your calculator screen.
It's in tiny little print. And then I'm going to hit "fraction."
You'll notice what happens. The whole number is still there.
but now the fraction will be attached to it.
and I'm going to type in "1" and then use my down-arrow
"2" in the denominator, and use the right-arrow key
to get out of the mixed number.
So, now I have 3 1/2.
I'm going to go over to the operations
which are in this column on the right
Select add. And to enter 2 1/8,
I'm going to enter the whole number 2
to attach the fraction, I'm going to hit "2nd" and "fraction"
Then I'll enter 1 over 8
Once again, notice where the cursor is
The blinking cursor is in the bottom, so I'm going to move over to the right side.
Double-check everything. 3 /12 plus 2 1/8, yes, this looks good.
Select Enter. Now the answer
is given as a fraction.
So, this is technically correct. You could tell me that
the contractor ordered 45/8 tons of gravel but that just sounds
strange. Because it's an improper fraction
(it's top-heavy here)
Remember, an improper fraction has a numerator that is larger or equal to the denominator
Because it's improper, I can actually
convert this to a mixed number.
Which would probably make more sense if I'm visualizing
how many tons of gravel the contractor needs.
So, what I'm going to do to change this to
a mixed number, I'm going to hit
"2nd" (and notice the little word 2nd comes up on your screen)
and then I'm going to use a new key.
Look for where it says "times 10 to the nth"
and select that button.
Here is what this is telling the calculator to do
It's saying, "I want to change" ... so the arrow means "change" ...
and I want convert from... okay, this is a little "n/d" ...
so I want to convert from a fraction
and the double-arrow means that I'm converting to
and this is a mixed number
The "U" stands for unit and there's a fraction next to it.
So, this key sequence, this key stroke
says change from the fraction to a mixed number
I'm going to hit Enter.
And now you'll notice the mixed number form of this
answer appears.
So, 45/8 is the same thing as 5 5/8 tons.
So, if I go back to the problem I had before
I would say that I have 5 5/8 tons
Okay. So I hope this video helped a little bit.