Question

Simplify the following using distributivitly 5/2×(3/7+2/5)

Answer 1

Step-by-step explanation:

Hi ,

If a , b , c are Rational numbers ,

a × b + a × c = a ( b + c )

Distributive property

Here

a = 7/5 ,

b = ( -3/12 ) ,

c = 5/12 ,

[ 7/5 × ( -3/12 ) ] + [ 7/5 × 5/12 ]

= 7/5 × [ -3/12 + 5/12 ]

= 7/5 × ( 2/12 )

= ( 7 × 2 )/ ( 5 × 12 )

after cancellation

= 7/30

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Answer 2

Step-by-step explanation:

5/2×(3/7+2/5)

=5/2×3/7 + 5/2×2/5

=15/14 + 10/10

=15/14 + 1

=15+14/14

=29/14{ans.}