Page 181 - Math Course 1 (Book 1)
P. 181

Converting Ratios to Fractions




               Compare Units Rates                                 30 ft    12 in    60 min   The reciprocal of

                                                                   2 hr   •   1ft  •  1 hr    60 min  is  1 hr
                Example                                                     3                   1 hr    60 min
                                                                   1        6
                                                                   30 ft    12 in     1 hr    Divide the common
                 SHOPPING                                          2 hr   •   1ft  •  60 min  factors and units.
                 A 12-oz bottle of cleaner costs                   1                  2
                 $4.50.  A 16-oz bottle of cleaner                                    1
                 costs $6.56. Which costs less per
                 ounce?                                           =  3 in.                    Simplify.
                                                                    1 min
                 Find and compare the unit rates of the bottles.
                           ÷ 12                                      Answer       30 feet in 2 hours is equivalent
                                                                                     to 3 inches per minute.
                   $ 4.50   =   $0.38     Divide the numerator
                 12 ounces     1 ounces and denominator by 12
                                          to get a denominator
                           ÷ 12           of 1.                    Your Turn!

                For the 12-oz bottle, the unit rate is  $0.38 per ounce.
                                                                  Write Ratios in Simplest Form
                           ÷ 16
                                                                   Express the ratio 8 golden retrievers out of 12
                   $ 6.56   =   $0.41     Divide the numerator     dogs as a fraction in simplest form.
                 16 ounces     1 ounces and denominator by 16         3
                                          to get a denominator     A.  2
                           ÷ 16           of 1.                    B.  4
                For the 16-oz bottle, the unit rate is $0.41 per ounce.  6
                                                                   C.  8
                                                                     12
                                The 12-oz bottle has the lower
                    Answer                                         D.  2
                                       cost per ounce.                3

                                                                    Answer



                Convert Rates


                Example                                           Write Ratios as Fractions

                                                                   Express the ratio 4 feet to 18 inches as a fraction
                 ANIMALS                                           in simplest form.
                 A snail moved 30 feet in 2 hours. How many inches    2
                 per minute did the snail move?                    A.  9

                                        30 ft          in.         B.  8
                 You will need to convert      to                     3
                                         2 hr       1 min
                                                                   C.  48
                 There are 12 inches  in 1 foot and 60 minutes in 1   18
                 hour.                                             D.  24
                                          30 ft                       9
                 Write 30 feet in 2 hours as
                                          2 hr
                  30 ft  =  30 ft  •  12 in  ÷  60 min              Answer
                  2 hr      2 hr      1ft      1 hr
                 Convert feet to inches and hours to minutes.


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