Helen earns $\$11.50$ per hour as a barista and $\$40$ per hour as a tutor. What is the ratio of Helen's hourly earning as a barista to her hourly earning as a tutor?

Full solution

Q. Helen earns

\$11.50

per hour as a barista and

\$40

per hour as a tutor. What is the ratio of Helen's hourly earning as a barista to her hourly earning as a tutor?

Calculate Ratios: To find the ratio of Helen's hourly earnings as a barista to her hourly earnings as a tutor, we need to divide her hourly wage as a barista by her hourly wage as a tutor. $\newline$ Calculation: $\$11.50$ (barista hourly wage) / $\$40.00$ (tutor hourly wage)
Perform Division: Perform the division to find the ratio. $\newline$ Calculation: $11.50 / 40 = 0.2875$
Simplify Fraction: To express the ratio in simplest form, we can round the decimal to a fraction. The decimal $0.2875$ is equivalent to the fraction $\frac{2875}{10000}$ . This fraction can be simplified. $\newline$ Calculation: Simplify $\frac{2875}{10000}$ by dividing both numerator and denominator by the greatest common divisor, which is $2875$ in this case.
Final Result: After simplifying, we find that the greatest common divisor of $2875$ and $10000$ is $2875$ , so we divide both the numerator and the denominator by $2875$ . Calculation: $2875 \div 2875 / 10000 \div 2875 = 1/4$