Solve: 2/5 × -3/7 - 1/4 - 3/7 × 3/5.

Let us simplify the given arithmetic expression.

Answer: The solution of 2/5 × -3/7 - 1/4 - 3/7 × 3/5 is -19/28.

Let us use the concepts of PEMDAS and multiplication of fractions.

Explanation:

The given expression can be written as [2/5 × -3/7] - [1/4] - [3/7 × 3/5]

= [ -6/ 35 ] - [ 1/4 ] - [ 9/35 ]

Taking LCM of denominators and re-writing the fractions with a common denominator:

= [ -6 × 4 - 1 × 35 - 9 × 4] / [ 35 × 4 ]

= [ -24 - 35 - 36] / [140]

= [ - 95 ] / 140

= -19 / 28

Thus, 2/5 × -3/7 - 1/4 - 3/7 × 3/5 = -19/28