Calculate Hourly Wage as Fraction

To find the hourly wage, divide the total earnings by the number of hours worked.

Formula: Hourly Wage = Total Earnings / Hours Worked

Step 1: Substitute Values

Hourly Wage = $52.50 / 3.5$

Step 2: Convert Decimals to Fractions

Convert the earnings and hours into fractions:

• $52.50 = \frac{5250}{100} = \frac{105}{2}$
• $3.5 = \frac{35}{10} = \frac{7}{2}$

Step 3: Perform Fraction Division

Divide the earnings fraction by the hours fraction:

Hourly Wage = $\frac{105}{2} \div \frac{7}{2}$

To divide fractions, multiply by the reciprocal of the divisor:

Hourly Wage = $\frac{105}{2} \times \frac{2}{7}$

Step 4: Simplify the Result

Multiply the numerators together and the denominators together:

Hourly Wage = $\frac{105 \times 2}{2 \times 7} = \frac{210}{14}$

Simplify the fraction:

Hourly Wage = $\frac{105}{7}$

Perform the division:

Hourly Wage = $15$

Step 5: Express as a Fraction

The question asks for the hourly wage as a fraction. Express $15$ as a fraction:

Hourly Wage = $\frac{15}{1}$

This matches Option 1.