Question

Verify a×(b+c)=a×b+a×c for a=(-15)/4, b=4/7, c=(-12)/5

Answer 1

Answer:

2/3 * 3/5 + 5/2 – 3/5 * 1/6

= -2/3 * 3/5 – 3/5 * 1/6 + 5/2 [Using associative property]

= 3/5 * (-2/3 – 1/6) + 5/2 [Using distributive property]

= 3/5 * {(-4 - 1)/6} + 5/2 [LCM (3, 2) = 6]

= 3/5 * (-5/6) + 5/2

= -3/6 + 5/2

= -1/2 + 5/2

= (-1 + 5)/2

= 4/2

= 2

(ii) 2/5 * (3/-7) – 1/6 * 3/2 + 1/14 * 2/5

= 2/5 * (-3/7) + 1/14 * 2/5 – 1/6 * 3/2 [Using associative property]

= 2/5 * (-3/7 + 1/14) – 1/2 * 1/2 [Using distributive property]

= 2/5 * {(-6 + 1)/14} – 1/4 [LCM (7, 14) = 14]

= 2/5 * (-5/14) – 1/4

= -1/7 – 1/4

= (-4 -7)/28 [LCM (7, 4) = 28]

= -11/28

Step-by-step explanation:

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