Conversions Using Unit Fractions
= &nb= sp; = &nb= sp; = &nb= sp; = &nb= sp; ____________________
= &nb= sp; = &nb= sp; = &nb= sp; = &nb= sp; ____________________
= &nb= sp; = &nb= sp; = &nb= sp; = &nb= sp; ____________________
= &nb= sp; = &nb= sp; = &nb= sp; = &nb= sp; ____________________
= &nb= sp; = &nb= sp; = &nb= sp; = &nb= sp; ____________________
A unit fraction is a fraction in which the numerator a= nd denominator contain different units that are equal to each other. An example would be the fractions:=
= &nb= sp; = 1 foot = ; &n= bsp; = ; 12 inches
= &nb= sp; = 12 inches &= nbsp; &nbs= p; &= nbsp; 1 foot
We use unit fractions to convert measurements from one= unit to another. We could use the = above unit fractions to convert measurements between feet and inches.
Using the measurements that we took in a previous clas= s, you will create unit fractions for conversion.= Due to measuring inaccuracies, your unit fractions my not be exact.<= span style=3D'mso-spacerun:yes'> You will then look up the exact conversions in the book (page 419) and compare your unit fractions to the e= xact unit fractions. Hopefully you= rs are close approximations.
Length
Insert your actual metric measurement of the length of= the textbook in centimeters in the first numerator.&nbs= p; Insert your actual “English” measurement of the length of the textbook in inches in the first denominator. Divide both numerator and denomina= tor by the number of inches. This wi= ll reduce the conversion leaving you with an approximation of the number of centimeters per inch. Then lo= ok up the actual conversion in the book.
&=
nbsp; Your &=
nbsp; &nbs=
p; Reduced &=
nbsp; &nbs=
p; Exact
Measu=
rements &=
nbsp; Conversion &=
nbsp; Co=
nversion
&=
nbsp; &nbs=
p; cm &=
nbsp; &nbs=
p; cm &=
nbsp; &nbs=
p; cm
___________________________ ___________________________ &=
nbsp; ___________________________
&=
nbsp; &nbs=
p; in &n=
bsp; =
; &n=
bsp; in &=
nbsp; &nbs=
p; &=
nbsp; in
Insert your actual metric measurement of the height of= the doorway in meters in the first numerator.&= nbsp; Insert your actual “English” measurement of the height of the doorway in yards (you will have to convert feet to yards) in the first denominator. Divide both nume= rator and denominator by the number of yards.&nb= sp; This will reduce the conversion leaving you with an approximation of= the number of meters per yard. Th= en look up the actual conversion in the book.
&=
nbsp; Your &=
nbsp; &nbs=
p; Reduced &=
nbsp; &nbs=
p; Exact
Measu=
rements &=
nbsp; Conversion &=
nbsp; Co=
nversion
&=
nbsp; &nbs=
p; m &nb=
sp; =
&nb=
sp; m &=
nbsp; &nbs=
p; &=
nbsp; m
___________________________ ___________________________ &=
nbsp; ___________________________
&=
nbsp; &nbs=
p; yd &n=
bsp; =
; <=
/span>yd &=
nbsp; &nbs=
p; =
yd
Mass
Insert your actual metric measurement of the mass of t= he textbook in grams in the first numerator.&= nbsp; Insert your actual “English” measurement of the mass of = the textbook in ounces in the first denominator. Divide both numerator and denomina= tor by the number of ounces. This wi= ll reduce the conversion leaving you with an approximation of the number of gr= ams per ounce. Then look up the a= ctual conversion in the book.
&=
nbsp; Your &=
nbsp; &nbs=
p; Reduced &=
nbsp; &nbs=
p; Exact
Measu=
rements &=
nbsp; Conversion &=
nbsp; Co=
nversion
&=
nbsp; &nbs=
p; g &nb=
sp; =
&nb=
sp; g &=
nbsp; &nbs=
p; &=
nbsp; g
___________________________ ___________________________ &=
nbsp; ___________________________
&=
nbsp; &nbs=
p; oz &n=
bsp; =
; &n=
bsp; oz &=
nbsp; &nbs=
p; =
oz
Insert your actual metric measurement of the mass of t= he rock in kilograms in the first numerator.&= nbsp; Insert your actual “English” measurement of the mass of = the rock in pounds in the first denominator.&n= bsp; Divide both numerator and denominator by the number of pounds. This will reduce the conversion le= aving you with an approximation of the number of kilograms per pound. Then look up the actual conversion= in the book.
&=
nbsp; Your &=
nbsp; &nbs=
p; Reduced &=
nbsp; &nbs=
p; Exact
Measu=
rements &=
nbsp; Conversion &=
nbsp; Co=
nversion
&=
nbsp; &nbs=
p; kg &n=
bsp; =
; <=
/span>kg &=
nbsp; &nbs=
p; =
kg
___________________________ ___________________________ &=
nbsp; ___________________________
&=
nbsp; &nbs=
p; lb &n=
bsp; =
; &n=
bsp; lb &=
nbsp; &nbs=
p; &=
nbsp; lb
Liquid Volume
Insert your actual metric measurement of the volume of= cup 2 in liters in the first numerator. Insert your actual “English” measurement of the volume of cup 2 in quarts in the first denominator.&= nbsp; Divide both numerator and denominator by the number of quarts. This will reduce the conversion le= aving you with an approximation of the number of liters per quart. Then look up the actual conversion= in the book.
&=
nbsp; Your &=
nbsp; &nbs=
p; Reduced &=
nbsp; &nbs=
p; Exact
Measu=
rements &=
nbsp; Conversion &=
nbsp; Co=
nversion
&=
nbsp; &nbs=
p; ͎=
7; &=
nbsp; &nbs=
p; ͎=
7; &=
nbsp; &nbs=
p; &=
nbsp; ℓ
___________________________ ___________________________ &=
nbsp; ___________________________
&=
nbsp; &nbs=
p; qt &n=
bsp; =
; &n=
bsp; qt &=
nbsp; &nbs=
p; &=
nbsp; qt
Insert your actual metric measurement of the volume of= cup 3 in milliliters in the first numerator.&nbs= p; Insert your actual “English” measurement of the volume of cup 3 in fluid ounces in the first denominator. Divide both numerator and denomina= tor by the number of fluid ounces. T= his will reduce the conversion leaving you with an approximation of the number = of milliliters per fluid ounce. = Then look up the actual conversion in the book.
&=
nbsp; Your &=
nbsp; &nbs=
p; Reduced &=
nbsp; &nbs=
p; Exact
Measu=
rements &=
nbsp; Conversion &=
nbsp; Co=
nversion
&=
nbsp; &nbs=
p; mℓ &=
nbsp; &nbs=
p; mℓ &=
nbsp; &nbs=
p; mℓ
___________________________ ___________________________ &=
nbsp; ___________________________
&=
nbsp; &nbs=
p; oz &n=
bsp; =
; &n=
bsp; oz &=
nbsp; &nbs=
p; =
oz