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VladimirAG [237]
3 years ago
5

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

Mathematics
2 answers:
kenny6666 [7]3 years ago
7 0
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.
77julia77 [94]3 years ago
3 0

<h2>¹/₄ × ( ⁸/₃ × 9 ) - 3 = 3</h2>

<h3>Further explanation</h3>

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!

<em>Product of eight thirds and nine</em>

\frac{8}{3} \times 9

<em>One-fourth of the product of eight thirds and nine</em>

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

<em>Three less than one-fourth of the product of eight thirds and nine</em>

\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}

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

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

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