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.
