1.
To write the mixed fractions as improper fractions.
1.

Answer to Problem 11E
1012pounds and 423pounds can be written as 212pounds and 143pounds .
Explanation of Solution
Given information:
The given statement is:
“Newly cut lumber contains a lot of moisture. Before the wood is used for carpentry or construction, it is usually dried. Suppose a freshly cut board weighs 1012pounds . After drying, the board weighs 423pounds . What was the weight of water that evaporated?”
Calculation :
The fractions 1012pounds and 423pounds can be written as improper fractions by:
1012 and 423=212 and 143 [Write the mixed fractions as improper fractions]
Hence, 1012pounds and 423pounds can be written as 212pounds and 143pounds .
2.
To rewrite the fractions using Least Common Divisor of the fractions.
2.

Answer to Problem 11E
The fractions 212pounds and 143pounds can be written as 636pounds and 286pounds .
Explanation of Solution
Given information:
The given statement is:
“Newly cut lumber contains a lot of moisture. Before the wood is used for carpentry or construction, it is usually dried. Suppose a freshly cut board weighs 1012pounds . After drying, the board weighs 423pounds . What was the weight of water that evaporated?”
Calculation :
The fractions 212pounds and 143pounds can be written as:
1012 and 423=212 and 143 [Write the mixed fractions as improper fractions]=636 and 286 [Write the fractions by changing the denominator to their least common divisor]
Hence, the fractions 212pounds and 143pounds can be written as 636pounds and 286pounds .
3.
To find the difference of the improper fractions from Step2.
3.

Answer to Problem 11E
The weight of the water that evaporated is 834pounds .
Explanation of Solution
Given information:
The given statement is:
“Newly cut lumber contains a lot of moisture. Before the wood is used for carpentry or construction, it is usually dried. Suppose a freshly cut board weighs 1012pounds . After drying, the board weighs 423pounds . What was the weight of water that evaporated?”
Calculation :
The difference can be calculated by:
634−284=63−284 [Write difference of numerators over the denominator]=354 [Subtract]=834pounds [Simplify]
Hence, the weight of the water that evaporated is 834pounds .
Chapter 5 Solutions
EBK PRE-ALGEBRA
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