Measurement Changing Customary Units Worksheet - Chapter 6 Ratios And Proportions Page 2
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1
2
3
4
5
6Each of the relationships above can be written as a unit ratio. Like a unit
rate, a unit ratio is one in which the denominator is 1 unit.
4 qt
2,000 lb
_
_
_
3 ft
1 yd
1 T
1 gal
Notice that the numerator and denominator of each fraction above are
equivalent, so the value of each ratio is 1. You can multiply by a unit
ratio of this type to convert or change from larger units to smaller units.
Convert Larger Units to Smaller Units
1
Convert 20 feet into inches.
Multiplying by 1
Multiplying by 1
_
12 in.
Although the number and
Since 1 foot = 12 inches, the unit ratio is
.
1 ft
units changed in Example
1, because the measure is
_
12 in.
_
12 in.
20 ft = 20 ft ·
Multiply by
.
multiplied by 1, the value of
1 ft
1 ft
the converted measure is
_
Divide out common units, leaving
12 in.
the same as the original.
= 20 ft ·
the desired unit, inches.
1 ft
= 20 · 12 in. or 240 in.
Multiply.
So, 20 feet = 240 inches.
_
1
2
GARDENING
Clarence mixes
cup of fertilizer with soil before
4
planting each bulb. How many ounces of fertilizer does he use
per bulb?
Since 1 cup = 8 fluid ounces, multiply by
_
_
_
1
1
8 fl oz
c =
c ·
_
8 fl oz
. Then, divide out common units.
4
4
1 c
1 c
_
1
=
· 8 fl oz or 2 fl oz
Multiply.
4
So, 2 fluid ounces of fertilizer are used per bulb.
Complete.
_
_
3
1
36 yd =
T =
qt =
ft 108
lb 1,500
1
pt 3
a.
b.
c.
4
2
Review Vocabulary
To convert from smaller units to larger units, multiply by the reciprocal
reciprocal The product of a
of the appropriate unit ratio.
number and its reciprocal is
1; Example: The reciprocal
_
_
3
5
of
is
.
(Lesson 5-7)
5
3
Convert Smaller Units to Larger Units
3
Convert 15 quarts into gallons.
4 qt
1 gal
_
_
Since 1 gallon = 4 quarts, the unit ratio is
, and its reciprocal is
.
1 gal
4 qt
1 gal
_
1 gal
_
15 qt = 15 qt ·
Multiply by
.
4 qt
4 qt
1 gal
_
Divide out common units, leaving
= 15 qt ·
4 qt
the desired unit, gallons.
_
1
_
1
Multiplying 15 by
is the same as
= 15 ·
gal or 3.75 gal
4
4
dividing 15 by 4.
299
Lesson 6-4 Measurement: Changing Customary Units
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