Rewrite the ratio so that the units in the numerator and the denominator are the same. Use values in terms of the smaller measurement unit. Then write the ratio in fraction​ notation, expressing the fraction in simplest form.
36 inches to 7 feet​ (12 inchesequals1 ​foot)
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Part 1
Write the ratio with the smaller measurement unit. 
36 inches to 7 feetequals
  
enter your response here
▼ 
feet
inches
 to 
  
enter your response here 
▼ 
inches
feet


To rewrite the ratio so that both the numerator and the denominator are in terms of inches, we first need to convert 7 feet into inches. 

Since 1 foot equals 12 inches, we multiply:

\[
7 \text{ feet} \times 12 = 84 \text{ inches}.
\]

Now, we have the ratio in terms of inches:

\[
36 \text{ inches} \, : \, 84 \text{ inches}.
\]

Next, we write this as a fraction:

\[
\frac{36}{84}.
\]

Now, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 12:

\[
\frac{36 \div 12}{84 \div 12} = \frac{3}{7}.
\]

Thus, the simplified ratio is \( \frac{3}{7} \).

Would you like more details or have any questions?

### Related Questions:
1. How do you convert units of measurement for a ratio?
2. What is the greatest common divisor (GCD) and how is it used in simplifying fractions?
3. How do you convert between different units of length, like feet to meters?
4. What are other methods to simplify ratios?
5. How do you find the ratio between two measurements when given in different units?

### Tip:
When simplifying a ratio, always check if both units are the same before writing it as a fraction.

Rewrite the ratio so that the units in the numerator and the denominator are the same. Use values in terms of the smaller measurement unit. Then write the ratio in fraction notation, expressing the fraction in simplest form. 36 inches to 7 feet​ (12 inches equals 1 ​foot).

Learn how to rewrite and simplify the ratio of 36 inches to 7 feet by converting units and expressing the fraction in its simplest form. This problem demonstrates key concepts like unit conversion, the greatest common divisor (GCD), and simplifying fractions. Suitable for Grades 6-8.

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