Fundamentals of Mathematics, 2008a

525
Example 9.9
Simplify 4 gal 5 qt.
Since 4 qt = 1 gal, and 5 = 4 + 1,
4 gal 5 qt = 4 gal + 4 qt + 1qt
Example 9.10
Simplify 2 hr 75 min.
= 4 gal + 1 gal + 1 qt
= 5 gal + 1 qt
= 5 gal 1 qt
Since 60 min = 1 hr, and 75 = 60 + 15,
2 hr 75 min = 2 hr + 60 min + 15 min
Example 9.11
Simplify 43 oz.
= 2 hr + 1 hr + 15 min
= 3 hr + 15 min
= 3 hr 15 min
Since 8 oz = 1 c (1 cup), and 43 ÷ 8 = 5 R3,
43 oz = 40 oz + 3 oz
= 5 · 8 oz + 3 oz
= 5 · 1 c + 3 oz
= 5 c + 3 oz
But, 2 c = 1 pt and 5 ÷ 2 = 2 R1. So,
5 c + 3 oz = 2 · 2 c + 1 c + 3 oz
But, 2 pt = 1 qt, so
= 2 · 1 pt + 1 c + 3 oz
= 2 pt + 1 c + 3 oz
2 pt + 1 c + 3 oz = 1 qt 1 c 3 oz
9.4.2.2 Practice Set A
Simplify each denominate number. Refer to the conversion tables given in Section 9.2, if necessary.
Exercise 9.4.1 (Solution on p. 570.)
18 in.
Exercise 9.4.2 (Solution on p. 570.)
8 gal 9 qt
Available for free at Connexions