Question

2/3 (5 x 4) ÷ 3 + 6/7 I divided 3/2 is 1.5*(20)=30/3=10+1.16=11.16 is that correct not so good in math

Answer 1

$\frac{2}{3}(5*4):3+ \frac{6}{7} = \\ \\ \frac{2}{3}*20:3+ \frac{6}{7} = \\ \\ \frac{40}{3}:3+ \frac{6}{7} = \\ \\\frac{40}{9}+ \frac{6}{7}= \\ \\ \frac{40*7+6*9}{7*9}= \\ \\\frac{280+54}{63}= \\ \\ \frac{334}{63} = \\ \\ 5 \frac{19}{63} \ \ \ [as \ a \ mixed \ fraction] \\ \\ \approx 5.3 \ \ \ [as \ a \ decimal\ fraction \ to \ the \ nearest \ tenth]$

Answer 2

2/3 (5 × 4) ÷ 3 + 6/7 = 334/63

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.

Let's write down the problem that is wanted to be solved:

$\frac{2}{3} ( 5 \times 4 ) \div 3 + \frac{6}{7}$

$\frac{2}{3} ( 20 ) \div 3 + \frac{6}{7}$ → Parentheses First

$\frac{40}{3} \div 3 + \frac{6}{7}$ → Multiplication

$\frac{40}{9} + \frac{6}{7}$ → Division

$\frac{280}{63} + \frac{54}{63}$ → Match the denominator of the fraction

$\frac{334}{63}$ → 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 : 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