Judd worked 40 hours this week. He worked $\frac{7}{10}$ of the hours outside and the rest inside. How many hours did he work outside?
A. 12
B. 28
C. 8
D. 35
Answer (2)
The problem states that Judd worked 40 hours and 10 7 of his work was outside.
To find the hours worked outside, multiply the total hours by the fraction: 40 × 10 7 .
Simplify the expression: 10 40 × 7 = 10 280 .
Calculate the final answer: Judd worked 28 hours outside.
Explanation
Understanding the Problem Judd worked a total of 40 hours this week, and 10 7 of his hours were spent working outside. We need to find the number of hours Judd worked outside.
Setting up the Calculation To find the number of hours Judd worked outside, we multiply the total number of hours he worked by the fraction of hours he worked outside: Hours worked outside = Total hours × Fraction of hours outside
Plugging in the Values Now, we plug in the given values: Hours worked outside = 40 × 10 7
Calculating the Hours We can simplify this expression: 40 × 10 7 = 10 40 × 7 = 10 280 = 28
Final Answer Therefore, Judd worked 28 hours outside.
Examples
Understanding fractions and how to calculate a portion of a whole is useful in many real-life situations. For example, if you are baking a cake and the recipe calls for 3 2 cup of flour, and you only want to make half of the cake, you need to calculate 2 1 of 3 2 to know how much flour to use. This problem demonstrates how to apply fractions to determine quantities in everyday contexts.
Judd worked a total of 40 hours, 10 7 of which were outside. By calculating 40 × 10 7 , we find he worked 28 hours outside. Therefore, the answer is 28 hours.
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