The fraction of regions in a country with maximum interstate highway speed limits up to and including 70 mph was 

StartFraction 47 Over 50 EndFraction4750. 

The fraction of regions with 70 mph speed limits was  

StartFraction 23 Over 50 EndFraction .2350. 

What fraction of regions had speed limits that were less than 70​ mph?

To determine the fraction of regions with speed limits less than 70 mph, you need to subtract the fraction of regions with exactly 70 mph speed limits from the fraction of regions with speed limits up to and including 70 mph.

Given:
- The fraction of regions with speed limits up to and including 70 mph: \( \frac{47}{50} \)
- The fraction of regions with exactly 70 mph speed limits: \( \frac{23}{50} \)

Now, subtract the fraction with exactly 70 mph speed limits from the fraction with limits up to and including 70 mph:

\[
\frac{47}{50} - \frac{23}{50} = \frac{47 - 23}{50} = \frac{24}{50}
\]

Simplify the fraction \( \frac{24}{50} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

\[
\frac{24 \div 2}{50 \div 2} = \frac{12}{25}
\]

So, the fraction of regions that had speed limits less than 70 mph is \( \frac{12}{25} \).

Would you like any more details or have any questions?

Here are 5 relative questions to expand on this information:
1. How can you find the fraction of regions with speed limits greater than 70 mph?
2. If you knew the total number of regions, how would you calculate the number of regions with speed limits less than 70 mph?
3. How do you determine the greatest common divisor (GCD) of two numbers?
4. What is the difference between a proper fraction and an improper fraction?
5. How can you convert the fraction \( \frac{12}{25} \) into a percentage?

**Tip:** Always simplify fractions to their lowest terms to make calculations easier and results more interpretable.

Learn how to determine the fraction of regions with speed limits less than 70 mph using fractions and arithmetic operations. Understand the difference between fractions representing speed limits up to and including 70 mph versus exactly 70 mph. Suitable for students in Grades 5-6.

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