(1-2/5)x(1-2/7)x(1-2/9)

Jasonbradley

2 min read

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Jun 16, 2024

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Simplifying the Product: (1 - 2/5) x (1 - 2/7) x (1 - 2/9)

This problem involves a series of multiplications with fractions. Let's break it down step by step to find the solution.

Simplifying Each Term

• (1 - 2/5): To subtract fractions, they need a common denominator.

  • 1 can be written as 5/5.
  • (5/5 - 2/5) = 3/5

• (1 - 2/7):

  • 1 can be written as 7/7.
  • (7/7 - 2/7) = 5/7

• (1 - 2/9):

  • 1 can be written as 9/9.
  • (9/9 - 2/9) = 7/9

Multiplying the Simplified Terms

Now we have: (3/5) x (5/7) x (7/9)

When multiplying fractions, we multiply the numerators and the denominators:

• (3 x 5 x 7) / (5 x 7 x 9)

We can cancel out the common factors of 5 and 7:

• 3/9

Simplifying the Final Result

The final result, 3/9, can be simplified by dividing both numerator and denominator by 3:

• 1/3

Therefore, (1 - 2/5) x (1 - 2/7) x (1 - 2/9) simplifies to 1/3.