Question

Using appropriate properties, find the value of 2/5 x (-3/7) - 1/14 - 3/7 x 3/5. Mention the properties also.

Answer 1

To find the value of 2/5 x (-3/7) - 1/14 - 3/7 x 3/5, we can simplify each step by step. The value of this expression is -329/490.

Step-by-step explanation:

To find the value of 2/5 x (-3/7) - 1/14 - 3/7 x 3/5, we can simplify each multiplication and subtraction step by step:

1. Multiplication: 2/5 x (-3/7) = -6/35 and 3/7 x 3/5 = 9/35
2. Subtraction: -6/35 - 1/14 - 9/35
3. Now, let's find a common denominator for all the fractions by multiplying the denominators:

Common denominator = 35 x 14 = 490

So, the expression becomes:

-6/35 - 1/14 - 9/35 = -168/490 - 35/490 - 126/490

Now, we can combine the numerators:

-168 - 35 - 126 = -329

Therefore, the value of 2/5 x (-3/7) - 1/14 - 3/7 x 3/5 is -329/490.