Question

(6x+2.4):3 5/9 =2.25: 1/3

Answer 1

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 :

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!

$\texttt{ }$

$(6x + 2.4) \div 3\frac{5}{9} = 2.25 \div \frac{1}{3}$

$(6x + 2.4) \div \frac{3 \times 9 + 5}{9} = 2.25 \times \frac{3}{1}$

$(6x + 2.4) \div \frac{27 + 5}{9} = \frac{2.25 \times 3}{1}$

$(6x + 2.4) \div \frac{32}{9} = 6.75$

$(6x + 2.4) = \frac{6.75 \times 32}{9}$

$(6x + 2.4) = \frac{216}{9}$

$(6x + 2.4) = 24$

$6x = 24 - 2.4$

$6x = 21.6$

$x = 21.6 \div 6$

$x = 3.6$

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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

Answer 2

you could use proportions to get 3.6