Calculation of (2/5) x (-3/7) - (1/14) - (3/7) x (3/5)
Understanding the Problem:
- We are required to solve the expression (2/5) x (-3/7) - (1/14) - (3/7) x (3/5).

Solving the Expression:
Step 1: Calculate (2/5) x (-3/7):
- To multiply fractions, multiply the numerators and denominators separately.
- (2/5) x (-3/7) = (2 x -3) / (5 x 7) = -6 / 35
Step 2: Subtract (1/14) from the result:
- Since the denominators are different, find a common denominator.
- The common denominator for 14 and 35 is 70.
- (1/14) = 5/70
- Therefore, -6/35 - 5/70 = -12/70 - 5/70 = -17/70
Step 3: Calculate (3/7) x (3/5):
- (3/7) x (3/5) = (3 x 3) / (7 x 5) = 9 / 35
Step 4: Subtract the result from Step 2:
- -17/70 - 9/35
- Find a common denominator, which is 70.
- -17/70 - 18/70 = -35/70 = -1/2

Final Answer:
- Therefore, the final result of the expression (2/5) x (-3/7) - (1/14) - (3/7) x (3/5) is -1/2.