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Find 2/5×3/7-1/14-3/5×3/7using appropriate properties?
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Find 2/5×3/7-1/14-3/5×3/7using appropriate properties?


Solution:

Step 1: Simplify the given expression

We have 2/5 × 3/7 - 1/14 - 3/5 × 3/7

Step 2: Multiply the fractions

  • 2/5 × 3/7 = 6/35
  • 3/5 × 3/7 = 9/35


Step 3: Substitute the results back into the expression

6/35 - 1/14 - 9/35

Step 4: Find a common denominator

The common denominator for 35 and 14 is 70. Rewriting the fractions with the common denominator:

  • 6/35 = 12/70
  • 1/14 = 5/70
  • 9/35 = 18/70


Step 5: Subtract the fractions

12/70 - 5/70 - 18/70 = -11/70

Step 6: Final answer

Therefore, 2/5 × 3/7 - 1/14 - 3/5 × 3/7 = -11/70

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Find 2/5×3/7-1/14-3/5×3/7using appropriate properties?
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