Consider the following equation.[(4/5) of (4/5) ÷ (4/5)] / [(4/...
[(4/5) of (4/5) ÷ (4/5)] / [(4/5) ÷ (4/5) of (4/5)]
= [(16/25) ÷ (4/5)] / [(4/5) ÷ (16/25)]
= [(16/25) × (5/4)] / [ (4/5) × (25/16)]
= (4/5) / (5/4)
= 16/25
Hence, option (b) is the correct answer.
View all questions of this testConsider the following equation.[(4/5) of (4/5) ÷ (4/5)] / [(4/...
Given Equation: [(4/5) of (4/5) ÷ (4/5)] / [(4/5) ÷ (4/5) of (4/5)]
Solution:
Simplify the expression:
- Calculate (4/5) of (4/5): (4/5) * (4/5) = 16/25
- Calculate (4/5) ÷ (4/5): (4/5) ÷ (4/5) = 1
Now, substitute the values back into the equation:
[(16/25) ÷ (4/5)] / [(4/5) ÷ (16/25)]
= [(16/25) * (5/4)] / [(4/5) * (25/16)]
= (80/100) / (100/80)
= 80/100 * 80/100
= 6400 / 10000
= 16 / 25
Therefore, the outcome of the given equation is 16/25, which corresponds to option B.