Question

Larry spends half of his workday teaching piano lessons .if he sees 6 students,each for the same amount of time ,what fraction of his workday is spent with each student?

Answer 1

He spent 1/12 with eaxh student

Answer 2

Larry spends ¹/₁₂ of his workday with each student

Further explanation

Order of Operations in Mathematics follow this following rule :

• Parentheses

• Exponents

• Multiplication and Division

• 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!

Let :

Total Time of Larry's Workday = X

Given:

Larry spends half of his workday teaching piano lessons.

$\texttt{Duration of Teaching Piano Lessons} = \frac{1}{2} \times \texttt{Total Time of Workday}$

$\texttt{Duration of Teaching Piano Lessons} = \frac{1}{2} \times X$

$\texttt{Duration of Teaching Piano Lessons} = \boxed {\frac{1}{2} X}$

He sees 6 students , each for the same amount of time.

$\texttt{Duration of Teaching Each Student} = \texttt{Duration of Teaching Piano Lessons} \div \texttt{Number of Students}$

$\texttt{Duration of Teaching Each Student} = \frac{1}{2} X \div 6$

$\texttt{Duration of Teaching Each Student} = \frac{1}{2} X \times \frac{1}{6}$

$\texttt{Duration of Teaching Each Student} = \frac{1 \times 1}{2 \times 6} X$

$\texttt{Duration of Teaching Each Student} = \boxed {\frac{1}{12} X}$

Learn more

• Perimeter of Rectangle : brainly.com/question/12826246

• Elimination Method : brainly.com/question/11233927

• Sum of The Ages : brainly.com/question/11240586

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

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