Answer :

The problem given is (4/5 * (- 1/16)) + (7/24 * 4/5) - (3/8 * 4/5). To simplify, we will use the distributive property of multiplication over addition:

First, calculate each term individually:

  • Term 1: (4/5) * (-1/16) = -4/80 = -1/20
  • Term 2: (7/24) * (4/5) = 28/120 = 7/30
  • Term 3: (3/8) * (4/5) = 12/40 = 3/10

Next, we combine these simplified fractions:  [-1/20 + 7/30 - 3/10]

Find a common denominator, which is 60 in this case:

  • -1/20 = -3/60
  • 7/30 = 14/60
  • 3/10 = 18/60

 Combine the fractions: [-3/60 + 14/60 - 18/60]

Add and subtract these fractions: (-3 + 14 - 18)/60 = -7/60

Therefore, the simplified expression is -7/60.

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