Question

Chris jogged 1 3 of a mile to his friends house in 1 12 of an hour. Compute the unit rate from the complex fraction 1 3 1 12 miles per hour. A) 2 miles per hour B) 3 miles per hour C) 4 miles per hour D) 6 miles per hour

Answer 1

The unit rate from the complex fraction ¹/₃ ÷ ¹/₁₂ is 4 miles per hour

Further explanation

Order of Operations in Mathematics follow this following rule :

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

$\texttt{ }$

We will calculate the fraction by using this following formula:

$\texttt{Speed of Chris} = \texttt{Distance} \div \texttt{Time Taken}$

$\texttt{Speed of Chris} = \frac{1}{3} \texttt{ miles} \div \frac{1}{12}\texttt{ hour}$

$\texttt{Speed of Chris} = (\frac{1}{3} \times \frac{12}{1}) \texttt{ miles per hour}$

$\texttt{Speed of Chris} = (\frac{12}{3}) \texttt{ miles per hour}$

$\texttt{Speed of Chris} = 4 \texttt{ miles per hour}$

$\texttt{ }$

Conclusion:

The unit rate from the complex fraction ¹/₃ ÷ ¹/₁₂ is 4 miles per hour

$\texttt{ }$

Learn more

• Infinite Number of Solutions : brainly.com/question/5450548
• System of Equations : brainly.com/question/1995493
• System of Linear equations : brainly.com/question/3291576

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS