Examples:  Convert Weight Between the Standard and Metric System
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– WE WANT TO CONVERT
THE FOLLOWING WEIGHTS BETWEEN THE AMERICAN
AND METRIC MEASUREMENT SYSTEM. AND WE’LL DO THESE CONVERSIONS
USING UNIT FRACTIONS. SO WE’LL START BY WRITING
180 POUNDS AS A FRACTION. SO WE’LL PUT 180 LBS/1 AND THEN WE’RE GOING TO
MULTIPLY IT BY A UNIT FRACTION TO DO THE CONVERSION. SO LOOKING AT OUR TABLE HERE,
WE CAN SEE THAT 2.2 POUNDS IS EQUAL TO 1 KILOGRAM. IF WE WANT POUNDS TO SIMPLIFY
OUT OF THIS PRODUCT, WE HAVE TO HAVE POUNDS
IN THE DENOMINATOR AND WE’LL HAVE
KILOGRAMS IN THE NUMERATOR. AND THE CONVERSION IS
2.2 LBS=1 KG. NOW NOTICE HOW POUNDS
SIMPLIFIES OUT AND WE’RE LEFT WITH
180 DIVIDED BY 2.2 KG. SO THIS QUOTIENT WILL TELL US HOW MANY KILOGRAMS
IS IN 180 POUNDS. SO WE’LL HAVE
180 DIVIDED BY 2.2. AND THEY WANT US TO ROUND
TO THE NEAREST TENTH, SO THIS WILL BE APPROXIMATELY
81.8 KILOGRAMS. NOW LET’S TAKE A LOOK
AT A SECOND EXAMPLE. HERE WE WANT TO CONVERT
12 KILOGRAMS TO OUNCES. SO WE’LL WRITE 12 KILOGRAMS
AS A FRACTION. AND NOW LET’S GO AND TAKE
A LOOK AT OUR CONVERSION TABLE. THIS ONE’S A LITTLE BIT
MORE CHALLENGING BECAUSE THE ONLY CONVERSION
THAT WE’RE GIVEN IS FROM OUNCES TO GRAMS,
AND WE HAVE KILOGRAMS. SO ONE THING WE HAVE TO REMEMBER ABOUT THE METRIC
MEASUREMENT SYSTEM IS THAT IT’S BASE 10, WHICH MAKES CONVERSIONS
MUCH MORE CONVENIENT. KILO MEANS 1,000, SO THERE’S
1,000 GRAMS IN A KILOGRAM. AND WE CAN USE THAT INFORMATION TO DO THE CONVERSION
FROM KILOGRAMS TO GRAMS AND THEN USE
THE PROVIDED CONVERSION. SO, AGAIN, 1 KG=1,000 G. NOTICE HOW BY PUTTING THE
KILOGRAMS IN THE DENOMINATOR, THE UNITS OF KILOGRAMS
SIMPLIFIES OUT AND NOW WE HAVE GRAMS, AND SO WE CAN USE
ANOTHER UNIT FRACTION TO DO THE CONVERSION
FROM GRAMS TO OUNCES. SO WE’LL PUT GRAMS
IN THE DENOMINATOR AND OUNCES IN THE NUMERATOR, SO THE GRAMS SIMPLIFY OUT. AND, AGAIN, THE CONVERSION
IS 1 OZ=28.3 G. THE GRAMS SIMPLIFY OUT, AND SO WE’RE LEFT WITH
12 x 1,000 IN THE NUMERATOR AND 28.3 IN OUR DENOMINATOR. SO THIS WILL BE
12,000 DIVIDED BY 28.3, AND THIS WILL BE OUNCES. SO OUR NUMERATOR IS 12,000
AND OUR DENOMINATOR IS 28.3. SO ROUNDED TO THE NEAREST TENTH,
THIS WILL BE 424.0 OUNCES.

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