Solution of (6x + 2.4): 3 ⁵/₉ = 2.25 : ¹/₃ is 3.6
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!
[tex]\texttt{ }[/tex]
[tex](6x + 2.4) \div 3\frac{5}{9} = 2.25 \div \frac{1}{3}[/tex]
[tex](6x + 2.4) \div \frac{3 \times 9 + 5}{9} = 2.25 \times \frac{3}{1}[/tex]
[tex](6x + 2.4) \div \frac{27 + 5}{9} = \frac{2.25 \times 3}{1}[/tex]
[tex](6x + 2.4) \div \frac{32}{9} = 6.75[/tex]
[tex](6x + 2.4) = \frac{6.75 \times 32}{9}[/tex]
[tex](6x + 2.4) = \frac{216}{9}[/tex]
[tex](6x + 2.4) = 24[/tex]
[tex]6x = 24 - 2.4[/tex]
[tex]6x = 21.6[/tex]
[tex]x = 21.6 \div 6[/tex]
[tex]x = 3.6[/tex]
[tex]\texttt{ }[/tex]
Learn more
- Infinite Number of Solutions : https://brainly.com/question/5450548
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Answer details
Grade: Middle School
Subject: Mathematics
Chapter: Order of Operations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS
