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Math  /  Numbers & Operations

Questioni-Ready Understand Percent Concepts
Amy's dog sleeps for 12 hours each night. She wants to know what percent of the day he sleeps.
What fraction shows the number of hours Amy's dog sleeps out of the total number of hours in the day? Complete the fraction.
12 24
Which fraction shows the number of hours Amy's dog sleeps for every 2 hours in the day? Complete the fraction. 1224=12\frac{12}{24}=\frac{1}{2}
What percent of the day did Amy's dog sleep? 2\% 5%5 \% 12%12 \% 50%50 \%

Studdy Solution

STEP 1

1. A day consists of 24 hours.
2. Amy's dog sleeps for 12 hours each night.
3. We need to determine the fraction and percentage of the day that the dog sleeps.

STEP 2

1. Determine the fraction of the day the dog sleeps.
2. Simplify the fraction.
3. Convert the simplified fraction to a percentage.

STEP 3

Identify the fraction of the day that Amy's dog sleeps.
The fraction is given by:
hours slepttotal hours in a day=1224\frac{\text{hours slept}}{\text{total hours in a day}} = \frac{12}{24}

STEP 4

Simplify the fraction 1224\frac{12}{24}.
Divide both the numerator and the denominator by their greatest common divisor, which is 12:
12÷1224÷12=12\frac{12 \div 12}{24 \div 12} = \frac{1}{2}

STEP 5

Convert the simplified fraction 12\frac{1}{2} to a percentage.
To convert a fraction to a percentage, multiply by 100:
12×100=50%\frac{1}{2} \times 100 = 50\%
The percentage of the day that Amy's dog sleeps is:
50%\boxed{50\%}

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