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?

To find the ratio of Helen's hourly earnings as a barista to her hourly earnings as a tutor, we can use the formula for ratio:

\[
\text{Ratio} = \frac{\text{Earnings as barista}}{\text{Earnings as tutor}} = \frac{11.50}{40}
\]

Now, we simplify this fraction:

\[
\frac{11.50}{40} = \frac{11.50 \div 11.50}{40 \div 11.50} = \frac{1}{\frac{40}{11.50}} \approx \frac{1}{3.4783}
\]

To express it in simplest form, we can multiply both the numerator and the denominator by 100 to avoid decimals:

\[
\text{Ratio} = \frac{1150}{4000}
\]

Now we simplify it further:

\[
\frac{1150 \div 50}{4000 \div 50} = \frac{23}{80}
\]

Thus, the ratio of Helen's hourly earnings as a barista to her hourly earnings as a tutor is:

\[
\frac{23}{80}
\]

### Summary
The ratio of Helen's hourly earnings as a barista to her hourly earnings as a tutor is **23:80**.

Do you want details or have any questions? Here are some related questions you might find interesting:

1. How much would Helen earn in a week if she worked 40 hours as a barista?
2. How much would Helen earn in a week if she worked 20 hours as a tutor?
3. What is the combined total income if Helen works 20 hours as a barista and 20 hours as a tutor?
4. If Helen’s barista hourly wage increases to $15, what would the new ratio be?
5. How does the ratio change if she works more hours as a tutor than as a barista? 

**Tip:** To compare ratios, always simplify them to their lowest terms for clarity.

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?

Discover how to calculate the ratio of Helen's earnings as a barista earning $11.50 per hour to her tutoring rate of $40 per hour. This math problem teaches essential ratio and fraction concepts. Ideal for students in Grades 6-8.

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