2/3 (5 × 4) ÷ 3 + 6/7 = 334/63
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's write down the problem that is wanted to be solved:
[tex]\frac{2}{3} ( 5 \times 4 ) \div 3 + \frac{6}{7}[/tex]
[tex]\frac{2}{3} ( 20 ) \div 3 + \frac{6}{7}[/tex] → Parentheses First
[tex]\frac{40}{3} \div 3 + \frac{6}{7}[/tex] → Multiplication
[tex]\frac{40}{9} + \frac{6}{7}[/tex] → Division
[tex]\frac{280}{63} + \frac{54}{63}[/tex] → Match the denominator of the fraction
[tex]\frac{334}{63}[/tex] → Final Answer
From the results above, it can be concluded that the results of this operation 2/3 (5 × 4) ÷ 3 + 6/7 is 334/63
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
