Question

Three less than one-fourth of the product of eight thirds and nine. Please write equation, then solve.

Answer 1

Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
$\frac{8}{3}$*9

 Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
($\frac{8}{3}$*9)*$\frac{1}{4}$

, or dividing everything by 4.
($\frac{8}{3}$*9)/4

Finally, subtract three.

The final equation would read:
(($\frac{8}{3}$*9)*$\frac{1}{4}$)-3



Using PE(M/D)(A/S), we'd start with $\frac{8}{3}$*9

3 and 9 cancel out to be 1 and 3, leaving us with $\frac{8}{1}$, or 8, and 3 and this part of the equation reading 8*3, which is 24.

The next step is $\frac{24}{4}$, which is 6.

Lastly we subtract 3 from six, leaving us 3.

Answer 2

¹/₄ × ( ⁸/₃ × 9 ) - 3 = 3

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!

Product of eight thirds and nine

$\frac{8}{3} \times 9$

One-fourth of the product of eight thirds and nine

$\frac{1}{4} \times ( \frac{8}{3} \times 9 )$

Three less than one-fourth of the product of eight thirds and nine

$\frac{1}{4} \times ( \frac{8}{3} \times 9 ) - 3$

$= \frac{1}{4} \times ( \frac{8 \times 9}{3} ) - 3$

$= \frac{1}{4} \times ( \frac{72}{3} ) - 3$

$= \frac{1}{4} \times 24 - 3$

$= \frac{1 \times 24}{4} - 3$

$= \frac{24}{4} - 3$

$= 6 - 3$

$= \boxed {3}$

Learn more

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

• Elimination Method : https://brainly.com/question/11233927

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

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

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