$\frac{15}{1}$
To find the hourly wage, divide the total earnings by the number of hours worked.
Formula: Hourly Wage = Total Earnings / Hours Worked
Hourly Wage = $52.50 / 3.5$
Convert the earnings and hours into fractions:
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 = $\frac{105}{2} \times \frac{2}{7}$
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 = $15$
The question asks for the hourly wage as a fraction. Express $15$ as a fraction:
Hourly Wage = $\frac{15}{1}$
This matches Option 1.
Which of the following fractions is the largest?
2/3, 6/53, 79/90, 33/44
Add \(\dfrac{1}{8} + \dfrac{1}{16}\) and express the result as a decimal.
If 11 / 19 = A and 2 / 9 = B, then what is A - B?
A tank holds \(5\tfrac{3}{4}\) liters of water. If 2.375 liters are drained twice, how much water remains?
What is the result of \(2\tfrac{1}{4} \div 0.5\)?
Convert 3.375 into a fraction in simplest form.
Express 0.121212... as a fraction.
Evaluate the continued fraction: \(x = 2 + \dfrac{1}{3 + \dfrac{1}{4 + \tfrac{1}{2}}}\)
Which of the following represents the correct simplified value of the continued fraction:
\(x = 1 + \cfrac{1}{2 + \cfrac{1}{2 + \tfrac{1}{2}}}\)
Which of the following fractions is the largest?
3/7 , 7/53 , 41/80 , 29/79
The value of $\frac{5}{3} + (\frac{1}{1+\frac{5}{6}}) - \frac{5}{3}$ is
The value of $\frac{4}{5} + (\frac{1}{1+\frac{5}{6}}) - \frac{2}{5}$ is