Examples:  Convert Volume Between the Standard and Metric System
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– WE WANT TO CONVERT
THE FOLLOWING VOLUME OR CAPACITY MEASUREMENTS
BETWEEN AMERICAN OR STANDARD AND THE METRIC
MEASUREMENT SYSTEM. AND WE’LL DO THIS BY MULTIPLYING
BY UNIT FRACTIONS. SO TO CONVERT 15 LITERS
INTO GALLONS, WE’LL START BY WRITING 15 LITERS
IN FRACTION FORM. SO 15 LITERS/1,
AND NOW WE’LL GO TO OUR TABLE TO DETERMINE OUR UNIT FRACTION. WE WANT A CONVERSION
FROM LITERS TO GALLONS AND WE ACTUALLY HAVE
TWO CHOICES. WE HAVE THIS CONVERSION HERE
OR WE HAVE THIS CONVERSION HERE. IT DOESN’T MATTER
WHICH ONE WE USE, BUT WHAT DOES MATTER IS THAT WE
HAVE LITERS IN THE DENOMINATOR SO IT SIMPLIFIES OUT
WITH THE LITERS HERE AND WE HAVE GALLONS
IN THE NUMERATOR. SINCE I PREFER TO HAVE
A DENOMINATOR OF 1, I’M GOING TO USE
THIS CONVERSION HERE, WHERE 1 LITER IS EQUAL
TO APPROXIMATELY 0.2642 GALLONS. NOTICE HOW LITERS SIMPLIFY OUT, AND THIS PRODUCT WILL GIVE US
THE NUMBER OF GALLONS. SO WE HAVE 15 x .2642, AND OUR DIRECTIONS ASKED US TO ROUND TO THE NEAREST
HUNDREDTHS, SO THIS WILL BE APPROXIMATELY
3.96 GALLONS. IN OUR SECOND EXAMPLE, WE WANT TO CONVERT 0.5 QUARTS
OR 5/10 OF A QUART TO LITERS. SO WE’LL FOLLOW
THE SAME PROCESS, WRITE THIS IN FRACTION FORM, AND THEN WE’LL MULTIPLY IT
BY A UNIT FRACTION. AND, AGAIN, BY LOOKING AT
OUR TABLE WE HAVE TWO CHOICES; WE CAN USE THIS CONVERSION HERE
OR THIS CONVERSION HERE. BUT, AGAIN,
WHAT DOES MATTER IS WE HAVE QUARTS
IN THE DENOMINATOR AND LITERS IN THE NUMERATOR. AND, AGAIN, IF WE WANT
TO HAVE A DENOMINATOR OF 1, WE’LL HAVE TO USE THIS FIRST
CONVERSION HERE WHERE 1 QUART IS EQUAL
TO 0.9464 LITERS. WE’LL GO BACK TO THE CALCULATOR
ONE MORE TIME TO DETERMINE THIS PRODUCT.
.5 x .9464. SO ROUNDED TO THE NEAREST
HUNDREDTH, WE HAVE APPROXIMATELY
.47 LITERS.

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