Maria Exercises For 1 5 6 1 \frac{5}{6} 1 6 5 ​ Hours Every Saturday. If She Runs For 3 4 \frac{3}{4} 4 3 ​ Of That Time, How Many Hours Does She Run Each Saturday?A. 1 1 12 1 \frac{1}{12} 1 12 1 ​ B. 1 1 8 1 \frac{1}{8} 1 8 1 ​ C. 1 3 8 1 \frac{3}{8} 1 8 3 ​ D.

Introduction

Maria is a dedicated runner who exercises for a significant amount of time every Saturday. Her exercise routine involves running for a portion of the total time she spends exercising. In this article, we will calculate the time Maria spends running each Saturday, given that she exercises for $1 \frac{5}{6}$ hours and runs for $\frac{3}{4}$ of that time.

Understanding the Problem

To solve this problem, we need to understand the concept of fractions and how to multiply them. We are given that Maria exercises for $1 \frac{5}{6}$ hours, which can be converted to an improper fraction as follows:

$$1 \frac{5}{6} = \frac{6}{6} + \frac{5}{6} = \frac{11}{6}$$

We are also given that Maria runs for $\frac{3}{4}$ of the total time she exercises. To find the time she spends running, we need to multiply the total exercise time by the fraction of time she spends running.

Calculating the Time Spent Running

To calculate the time Maria spends running, we need to multiply the total exercise time by the fraction of time she spends running. We can do this by multiplying the improper fraction representing the total exercise time by the fraction representing the time spent running:

$$\frac{11}{6} \times \frac{3}{4} = \frac{11 \times 3}{6 \times 4} = \frac{33}{24}$$

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3:

$$\frac{33}{24} = \frac{33 \div 3}{24 \div 3} = \frac{11}{8}$$

Therefore, Maria spends $\frac{11}{8}$ hours running each Saturday.

Converting the Fraction to a Mixed Number

To convert the improper fraction to a mixed number, we need to divide the numerator by the denominator:

$$\frac{11}{8} = 1 \frac{3}{8}$$

Therefore, Maria spends $1 \frac{3}{8}$ hours running each Saturday.

Conclusion

In this article, we calculated the time Maria spends running each Saturday, given that she exercises for $1 \frac{5}{6}$ hours and runs for $\frac{3}{4}$ of that time. We converted the improper fraction representing the total exercise time to a mixed number and multiplied it by the fraction representing the time spent running. The result was $1 \frac{3}{8}$ hours, which is the time Maria spends running each Saturday.

Answer

Introduction

In our previous article, we calculated the time Maria spends running each Saturday, given that she exercises for $1 \frac{5}{6}$ hours and runs for $\frac{3}{4}$ of that time. In this article, we will answer some frequently asked questions related to Maria's running routine.

Q: What is the total exercise time for Maria?

A: Maria exercises for $1 \frac{5}{6}$ hours each Saturday.

Q: What fraction of the total exercise time does Maria spend running?

A: Maria runs for $\frac{3}{4}$ of the total exercise time.

Q: How do you convert an improper fraction to a mixed number?

A: To convert an improper fraction to a mixed number, you need to divide the numerator by the denominator. For example, to convert $\frac{11}{8}$ to a mixed number, you would divide 11 by 8, which gives you 1 with a remainder of 3. Therefore, $\frac{11}{8} = 1 \frac{3}{8}$.

Q: How do you multiply fractions?

A: To multiply fractions, you need to multiply the numerators together and multiply the denominators together. For example, to multiply $\frac{11}{6}$ and $\frac{3}{4}$, you would multiply 11 and 3 together to get 33, and multiply 6 and 4 together to get 24. Therefore, $\frac{11}{6} \times \frac{3}{4} = \frac{33}{24}$.

Q: What is the time Maria spends running each Saturday?

A: Maria spends $1 \frac{3}{8}$ hours running each Saturday.

Q: What is the correct answer among the options provided?

A: The correct answer is C. $1 \frac{3}{8}$.

Frequently Asked Questions

Q: What if Maria exercises for a different amount of time?

A: If Maria exercises for a different amount of time, you would need to recalculate the time she spends running using the same method as before.

Q: What if Maria runs for a different fraction of the total exercise time?

A: If Maria runs for a different fraction of the total exercise time, you would need to recalculate the time she spends running using the same method as before.

Q: Can I use a calculator to calculate the time Maria spends running?

A: Yes, you can use a calculator to calculate the time Maria spends running. However, it's always a good idea to understand the underlying math to ensure accuracy.

Conclusion

In this article, we answered some frequently asked questions related to Maria's running routine. We covered topics such as converting improper fractions to mixed numbers, multiplying fractions, and calculating the time Maria spends running. We hope this article has been helpful in understanding Maria's running routine.