By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
plz solve fast! needed by 6:30pm
original: n/d
new: .5n/.75d = (2/3)(n/d)
so, it is decreased by 33.3%
the answer seems wrong
do you have some kind of calculation to buttress your gut feeling?
play with some numbers, at least.
The answer is wrong
Its true the answers wrong buttress steve
That answer is incorrect
To find the percentage decrease of a fraction when both the numerator and denominator are decreased, you can follow these steps:
1. Start with the original fraction with a numerator (N) and a denominator (D).
2. Calculate the new numerator after decreasing it by 50%. This can be done by multiplying the original numerator (N) by (1 - 0.50).
3. Calculate the new denominator after decreasing it by 25%. This can be done by multiplying the original denominator (D) by (1 - 0.25).
4. Divide the new numerator by the new denominator to get the new fraction.
5. Calculate the percentage decrease by subtracting the new fraction from the original fraction, dividing the result by the original fraction, and then multiplying by 100%.
Let's solve the example:
Original fraction: N/D
Decreased numerator: N * (1 - 0.50)
Decreased denominator: D * (1 - 0.25)
New fraction: (N * (1 - 0.50)) / (D * (1 - 0.25))
Now you can calculate the percentage decrease using the following formula:
Percentage decrease = ((Original fraction - New fraction) / Original fraction) * 100%
Plug in the values and calculate to get the answer.