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Subtract: 1 3 4 6 7 8 .

41 8

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Subtract: 10 3 7 22 4 9 .

757 63

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Key concepts

  • Add mixed numbers with a common denominator.
    1. Add the whole numbers.
    2. Add the fractions.
    3. Simplify, if possible.
  • Subtract mixed numbers with common denominators.
    1. Rewrite the problem in vertical form.
    2. Compare the two fractions.
      If the top fraction is larger than the bottom fraction, go to Step 3.
      If not, in the top mixed number, take one whole and add it to the fraction part, making a mixed number with an improper fraction.
    3. Subtract the fractions.
    4. Subtract the whole numbers.
    5. Simplify, if possible.
  • Subtract mixed numbers with common denominators as improper fractions.
    1. Rewrite the mixed numbers as improper fractions.
    2. Subtract the numerators.
    3. Write the answer as a mixed number, simplifying the fraction part, if possible.

Practice makes perfect

Model Addition of Mixed Numbers

In the following exercises, use a model to find the sum. Draw a picture to illustrate your model.

Add Mixed Numbers with a Common Denominator

In the following exercises, add.

Model Subtraction of Mixed Numbers

In the following exercises, use a model to find the difference. Draw a picture to illustrate your model.

Subtract Mixed Numbers with a Common Denominator

In the following exercises, find the difference.

19 13 15 13 7 15

6 2 5

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Add and Subtract Mixed Numbers with Different Denominators

In the following exercises, write the sum or difference as a mixed number in simplified form.

2 7 8 4 1 3

−1 11 24

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Mixed Practice

In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form.

Everyday math

Sewing Renata is sewing matching shirts for her husband and son. According to the patterns she will use, she needs 2 3 8 yards of fabric for her husband’s shirt and 1 1 8 yards of fabric for her son’s shirt. How much fabric does she need to make both shirts?

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Sewing Pauline has 3 1 4 yards of fabric to make a jacket. The jacket uses 2 2 3 yards. How much fabric will she have left after making the jacket?

7 12 yards

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Printing Nishant is printing invitations on his computer. The paper is 8 1 2 inches wide, and he sets the print area to have a 1 1 2 -inch border on each side. How wide is the print area on the sheet of paper?

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Framing a picture Tessa bought a picture frame for her son’s graduation picture. The picture is 8 inches wide. The picture frame is 2 5 8 inches wide on each side. How wide will the framed picture be?

13 1 4 inches

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Writing exercises

Draw a diagram and use it to explain how to add 1 5 8 + 2 7 8 .

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Edgar will have to pay $3.75 in tolls to drive to the city.

Explain how he can make change from a $10 bill before he leaves so that he has the exact amount he needs.

How is Edgar’s situation similar to how you subtract 10 3 3 4 ?

Answers will vary.

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Add 4 5 12 + 3 7 8 twice, first by leaving them as mixed numbers and then by rewriting as improper fractions. Which method do you prefer, and why?

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Subtract 3 7 8 4 5 12 twice, first by leaving them as mixed numbers and then by rewriting as improper fractions. Which method do you prefer, and why?

Answers will vary.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

After reviewing this checklist, what will you do to become confident for all objectives?

Questions & Answers

anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Berger describes sociologists as concerned with
Mueller Reply
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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