Calculate Hourly Wage as a Fraction
To find the hourly wage, divide the total earnings by the total hours worked. The question asks for the result as a fraction.
Steps to Calculate Hourly Wage
- Identify Given Information:
- Total Earnings = $52.50
- Total Hours = 3.5 hours
- Convert Decimals to Fractions:
- Total Earnings: $52.50 = 52 \frac{50}{100} = 52 \frac{1}{2} = \frac{105}{2}$
- Total Hours: $3.5 = 3 \frac{5}{10} = 3 \frac{1}{2} = \frac{7}{2}$
- Calculate Hourly Wage:
Hourly Wage = Total Earnings $\div$ Total Hours
Hourly Wage = $\frac{105}{2} \div \frac{7}{2}$
- Perform Fraction Division:
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
Hourly Wage = $\frac{105}{2} \times \frac{2}{7}$
- Simplify the Result:
Cancel out common factors (the 2s) and simplify.
Hourly Wage = $\frac{105}{7}$
Now, perform the division:
Hourly Wage = $15$
- Express as a Fraction:
The question requires the answer as a fraction. The whole number 15 can be written as a fraction by placing it over 1.
Hourly Wage = $\frac{15}{1}$
Important Questions from Quick Math
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