Simplify the following and verify the distributive property of multiplication over addition A.13/17×(-3/4×1/2)
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Answer:
13/17 × (-3/4 + 1/2)
By Distributive property:
13/17 × (-3/4 + 1/2) = (13/17 × -3/4) + (13/17 × 1/2)
-13/68 = -13/68
Hence, verified.
Step-by-step explanation:
13/17 × (-3/4 + 1/2)
By Distributive property:
a × (b + c) = (a × b) + (a × c)
13/17 × (-3/4 + 1/2) = (13/17 × -3/4) + (13/17 × 1/2)
13/17 × (-3×1/4×1 + 1×2/2×2) = (-39/68) + (13/34)
13/17 × (-3/4 + 2/4) = (-39×1/68×1) + (13×2/34×2)
13/17 × (-1/4) = (-39/68) + (26/68)
-13/68 = -13/68
L.H.S = R.H.S
Hence, verified.
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