using appropriate properties find 2/3*-3/7-1/14-3/7*3/5
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Solution:
2/3 × (-3/7) - 1/14- 3/7 × 3/5
Rearranging the terms, we get
= [2/3×(-3/7)+(-3/7)×3/5]-1/14
= (-3/7)[ 2/3 +3/5] - 1/14
/* Distributive property
A×B+ A×C = A(B+C) */
= (-3/7)[ (10+9)/15] - 1/14
= (-3/7) ( 19/15 ) - 1/14
= -19/(7×5) - 1/14
= (-1/7)×(19/5) + (-1/7)×(1/2)
= (-1/7) [ 19/5 + 1/2]
= (-1/7) [ (39+5)/10]
= (-1/7) × (44/10)
= -44/70
= -22/35
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