Answer:
LHS:
a×(b+c)
= 2/3 × (–5/6+1/2)
= 2/3 × (–5/6+3/6)
= 2/3 × (–5+3/6)
= 2/3 × (–2/6)
= 2×(–2)/3×6
= (–4)/18
= (–2)/9
RHS:
a×b+a×c
= 2/3×(–5)/6+2/3×1/2
= 2×(–5)/3×6+2×1/3×2
= (–10)/18+2/6
= (–5)/9+1/3
= (–5)/9+3/9
= (–5)+3/9
Since, LHS=RHS
Therefore proved.
Step-by-step explanation:
a×(b+c) =a×b+a×c
⅔×(-⅚+½) =⅔×(-⅚) +⅔×½
⅔×(-²/6) =(-⁵/9)+⅓
⅔×-²/6 = -²/9
-²/9= -²/9
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Answers & Comments
Answer:
LHS:
a×(b+c)
= 2/3 × (–5/6+1/2)
= 2/3 × (–5/6+3/6)
= 2/3 × (–5+3/6)
= 2/3 × (–2/6)
= 2×(–2)/3×6
= (–4)/18
= (–2)/9
RHS:
a×b+a×c
= 2/3×(–5)/6+2/3×1/2
= 2×(–5)/3×6+2×1/3×2
= (–10)/18+2/6
= (–5)/9+1/3
= (–5)/9+3/9
= (–5)+3/9
= (–2)/9
Since, LHS=RHS
Therefore proved.
Step-by-step explanation:
a×(b+c) =a×b+a×c
⅔×(-⅚+½) =⅔×(-⅚) +⅔×½
⅔×(-²/6) =(-⁵/9)+⅓
⅔×-²/6 = -²/9
-²/9= -²/9