Question

using appropriate property, how to solve 4/7*(-1/5)+2/7*3/5-3/2*4/7

Answer 1

Hi ,

4/7 × ( -1/5 ) + 2/7 × 3/5 - 3/2 × 4/7

= 4/7 × ( - 1/5 ) - 3/2 × 4/7 + 2/7 × 3/5

= 4/7 ( -1/5 - 3/2 ) + 2/7 × 3/5

[ a ( b + c ) = a × b + a × c

Distributive property ]

= 4/7 [ ( -2 - 15 )/10 ] + 2/7 × 3/5

= 4/7 ( -17/10 ) + 2/7 × 3/5

= ( 2/7 ) ( -17/5 ) + 2/7 × 3/5

= ( 2/7 ) [ - 17/5 + 3/5 ]

= ( 2/7 ) [ ( -17 + 3 )/5 ]

= 2/7 × ( -14/5 )

= - 28/35

I hope this helps you.

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