Jane watched one television program for \(\frac{1}{4}\) of an hour and then changed channels to watch another program for 20 minutes. Write an equation to describe the fraction of an hour that Jane watched television.
Answer (2)
To write an equation to describe the fraction of an hour that Jane watched television, we first need to express both time periods in the same units. Jane watched one television program for 1/4 of an hour and another for 20 minutes.
Since 1 hour equals 60 minutes, we can convert 20 minutes to hours by dividing by 60.
20 minutes / 60 minutes = 1/3 hour (since 20 is approximately one third of 60).
Now, we can write the total time Jane spent watching television as a sum of both fractions:
Total Time = 1/4 hour + 1/3 hour
To add these fractions, they need a common denominator. The least common denominator for 4 and 3 is 12, so we convert each fraction:
1/4 hour = 3/12 hour
1/3 hour = 4/12 hour
Thus, the equation for the total time is:
Total Time = 3/12 hour + 4/12 hour = 7/12 hour
Jane watched a total of 12 7 hour of television. This includes 4 1 hour for the first program and 3 1 hour for the second. The total time was calculated by converting both time periods into fractions of an hour and adding them together.
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