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For example,

Equal Measurements Unit Fraction
1ft = 12in. size 12{"1ft"="12in"} {} 1ft 12in. or 12in. 1ft size 12{ { {"1ft"} over {"12in."} } "or" { {"12in."} over {"1ft"} } } {}
1pt = 16 fl oz size 12{"1pt"="16 fl oz"} {} 1pt 16 fl oz or 16 fl oz 1pt size 12{ { {"1pt"} over {"16 fl oz"} } " or " { {"16 fl oz"} over {"1pt"} } } {}
1wk = 7da size 12{"1wk"="7da"} {} 7da 1wk or 1wk 7da size 12{ { {"7da"} over {"1wk"} } " or " { {"1wk"} over {"7da"} } } {}

Sample set a

Make the following conversions. If a fraction occurs, convert it to a decimal rounded to two decimal places.

Convert 11 yards to feet.

Looking in the unit conversion table under length , we see that 1 yd = 3 ft size 12{1" yd "="3 ft"} {} . There are two corresponding unit fractions, 1 yd 3 ft size 12{ { {"1 yd"} over {"3 ft"} } } {} and 3 ft 1 yd size 12{ { {"3 ft"} over {"1 yd"} } } {} . Which one should we use? Look to see which unit we wish to convert to. Choose the unit fraction with this unit in the numerator . We will choose 3 ft 1 yd size 12{ { {"3 ft"} over {"1 yd"} } } {} since this unit fraction has feet in the numerator. Now, multiply 11 yd by the unit fraction. Notice that since the unit fraction has the value of 1, multiplying by it does not change the value of 11 yd.

11 yd = 11 yd 1 3 ft 1yd Divide out common units. = 11 yd 1 3 ft 1 yd (Units can be added, subtracted, multiplied, and divided, just as numbers can.) = 11 3 ft 1 = 33 ft

Thus, 11 yd = 33 ft .

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Convert 36 fl oz to pints.

Looking in the unit conversion table under liquid volume , we see that 1 pt = 16 fl oz size 12{"1 pt "=" 16 fl oz"} {} . Since we are to convert to pints, we will construct a unit fraction with pints in the numerator.

36 fl oz = 36 fl oz 1 1 pt 16 fl oz Divide out common units. = 36 fl oz 1 1 pt 16 fl oz = 36 1 pt 16 = 36 pt 16 Reduce. = 9 4 pt Convert to decimals: 9 4 = 2.25 .

Thus, 36 fl oz = 2 . 25 pt size 12{"36 fl oz "=" 2" "." "25 pt"} {} .

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Convert 2,016 hr to weeks.

Looking in the unit conversion table under time , we see that 1wk = 7da size 12{"1wk "="7da"} {} and that 1 da = 24 hr size 12{1" da "=" 24 hr"} {} . To convert from hours to weeks, we must first convert from hours to days and then from days to weeks. We need two unit fractions.

The unit fraction needed for converting from hours to days is 1 da 24 hr size 12{ { {"1 da"} over {"24 hr"} } } {} . The unit fraction needed for converting from days to weeks is 1 wk 7 da size 12{ { {"1 wk"} over {"7 da"} } } {} .

2,016 hr = 2,016 hr 1 1 da 24 hr 1 wk 7 da Divide out common units. = 2,016 hr 1 1 da 24 hr 1 wk 7 da = 2,016 1 wk 24 7 Reduce. = 12 wk

Thus, 2,016 hr = 12 wk size 12{"2,016 hr "=" 12 wk"} {} .

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Practice set a

Make the following conversions. If a fraction occurs, convert it to a decimal rounded to two decimal places.

Convert 18 ft to yards.

6 yd

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Convert 2 mi to feet.

10,560 ft

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Convert 26 ft to yards.

8.67 yd

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Convert 9 qt to pints.

18 pt

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Convert 52 min to hours.

0.87 hr

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Convert 412 hr to weeks.

2.45 wk

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Exercises

Make each conversion using unit fractions. If fractions occur, convert them to decimals rounded to two decimal places.

8 mi to inches

506,880 inches

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5 in. to yards

0.14 yard

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62 in. to miles

0.00 miles (to two decimal places)

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6 T to ounces

192,000 ounces

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15,000 oz to pounds

937.5 pounds

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9 tbsp to teaspoons

27 teaspoons

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5 pt to fluid ounces

80 fluid ounces

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5 fl oz to quarts

0.16 quart

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5 pt to teaspoons

480 teaspoons

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18 min to seconds

1,080 seconds

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3 hr to days

1 8 = 0 . 125 size 12{ { {1} over {8} } =0 "." "125"} {} day

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1 2 da to weeks

1 14 = 0 . 0714 size 12{ { {1} over {"14"} } =0 "." "0714"} {} week

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Exercises for review

( [link] ) Specify the digits by which 23,840 is divisible.

1,2,4,5,8

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( [link] ) Find 2 4 5 size 12{2 { {4} over {5} } } {} of 5 5 6 size 12{5 { {5} over {6} } } {} of 7 5 7 size 12{7 { {5} over {7} } } {} .

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( [link] ) Convert 0 . 3 2 3 size 12{0 "." 3 { {2} over {3} } } {} to a fraction.

11 30 size 12{ { {"11"} over {"30"} } } {}

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( [link] ) Use the clustering method to estimate the sum: 53 + 82 + 79 + 49 size 12{"53"+"82"+"79"+"49"} {} .

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( [link] ) Use the distributive property to compute the product: 60 46 size 12{"60" cdot "46"} {} .

60 ( 50 4 ) = 3, 000 240 = 2, 760 size 12{"60" \( "50" - 4 \) =3,"000" - "240"=2,"760"} {}

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Questions & Answers

Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
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
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
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Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
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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
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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