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4/7 x 2/3 x ? = 1008
  • a)
    8812
  • b)
    2218
  • c)
    4412
  • d)
    2624
  • e)
    2646
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
4/7 x 2/3 x ? = 1008a)8812b)2218c)4412d)2624e)2646Correct answer is op...
8/21 * x = 1008
x = 21168 / 8
x = 2646
 
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Community Answer
4/7 x 2/3 x ? = 1008a)8812b)2218c)4412d)2624e)2646Correct answer is op...
Understanding the Problem
To solve the equation 4/7 x 2/3 x ? = 1008, we need to isolate the unknown variable represented by "?".
Step 1: Calculate the Left Side of the Equation
- Begin with the multiplication of the fractions:
- Multiply 4/7 by 2/3.
- Calculation:
- (4 x 2) / (7 x 3) = 8 / 21.
Step 2: Rearranging the Equation
- Now the equation looks like this:
- (8/21) x ? = 1008.
- To find "?", we can rearrange the equation:
- ? = 1008 / (8/21).
Step 3: Simplifying the Division
- Dividing by a fraction is the same as multiplying by its reciprocal:
- ? = 1008 x (21/8).
Step 4: Perform the Calculations
- First, multiply 1008 by 21:
- 1008 x 21 = 21168.
- Then, divide the result by 8:
- 21168 / 8 = 2646.
Conclusion
- The value of "?" that satisfies the equation is 2646.
- Thus, the correct answer is option E: 2646.
This step-by-step breakdown illustrates how to solve the problem systematically, leading to the answer.
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Question Description
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