Question

− 2 /3 × 3/ 5 − 6 /7 − 3 /5 × 1/ 6

Answer 1

Answer:

The value is -19/14.

Step-by-step explanation:

We have to get the value of, -2/3 × 3/5 - 6/7 - 3/5 × 1/6

Now, -2/3 × 3/5 - 6/7 - 3/5 × 1/6

= ( -2/3 × 3/5 ) - 6/7 - (3/5 × 1/6)

= -(2/5)×(3/3) - 6/7 - (3/6)×(1/5)

= -(2/5)×(3/3) - 6/7 - (1/2)×(1/5)

= -(2/5)×(3/3) - 6/7 - 1/10               [∵(1/2)×(1/5)=1/10]

= - 2/5 - 6/7 - 1/10                    [∵3/3=1]

= -( 2/5 + 6/7 + 1/10)

= - {(28+60+7)/70}          [∵The LCM of three numbers 28,60 and 7 is 70}

=- (95/70)

= - 19/14

Hence, the value is -19/14.