 – HERE WE WANT TO CONVERT THE
FOLLOWING WEIGHT MEASUREMENTS USING THE AMERICAN OR STANDARD
MEASUREMENT SYSTEM. AND TO KEEP THINGS CONSISTENT, WE’RE GOING TO GO AHEAD
AND USE UNIT FRACTIONS TO DO THESE CONVERSIONS. IN THE FIRST EXAMPLE WE WANT TO
CONVERT 240 OUNCES TO POUNDS AND THE CONVERSION
IS 1 LB=16 OZ. SO WE’LL START BY WRITING THE
GIVEN WEIGHT IN FRACTION FORM. WE’LL HAVE 240 OZ/1
TIMES OUR UNIT FRACTION, WHICH WILL GIVE US
OUR CONVERSION. AND SINCE WE WANT TO
ELIMINATE OUNCES, WE’LL HAVE OUNCE
IN THE DENOMINATOR AND POUNDS IN THE NUMERATOR. AND THE CONVERSION
IS 1 LB=16 OZ. NOTICE WHEN WE SET
THE UNIT FRACTION UP THIS WAY THE UNITS OF OUNCES SIMPLIFY
OUT, AND WE’RE LEFT WITH POUNDS. SO THIS PRODUCT WILL GIVE US THE
NUMBER OF POUNDS IN 240 OUNCES. SO OUR NUMERATOR’S GOING TO
BE 240, OUR DENOMINATOR’S 16, SO WE’LL HAVE TO DIVIDE TO
DETERMINE THE NUMBER OF POUNDS. 240 DIVIDED BY 16=15.
SO WE HAVE 15 POUNDS. FOR OUR SECOND EXAMPLE WE WANT
TO CONVERT 3 TONS INTO POUNDS AND THEN ALSO INTO OUNCES. SO WE’LL WRITE 3 TONS
AS A FRACTION, SO 3 T/1. AND THE CONVERSION
IS 1 T=2,000 LBS. SO WE’LL PUT TONS
IN THE DENOMINATOR AND POUNDS IN THE NUMERATOR AND THE CONVERSION
IS 1 T=2,000 LBS. SO NOTICE NOW THE UNITS OF TONS
HAVE SIMPLIFIED OUT AND THIS PRODUCT GIVES US
THE NUMBER OF POUNDS. SO 3 x 2,000 WOULD BE
6,000 POUNDS. AND NOW WE WANT TO CONVERT
6,000 POUNDS TO OUNCES, SO WE’LL JUST ADD ONE MORE
UNIT FRACTION ON HERE. WE’LL CONVERT POUNDS TO OUNCES. AND, AGAIN, THE CONVERSION
IS 1 LB=16 OZ. AND THE UNITS OF POUNDS
HAVE SIMPLIFIED OUT, SO THIS PRODUCT WILL NOW GIVE US
A TOTAL NUMBER OF OUNCES. WE’LL HAVE 3 x 2,000 x 16
OR JUST 6,000 x 16, WHICH WILL GIVE US 96,000. SO WE HAVE 96,000 OUNCES.