By what percent will a fraction change if its numerator is decreased by 10% and its denominator is decreased by 70%?

The fraction is decreased by 85.71 %

Solution:

Let the numerator be "n" and denominator be "d"

Then the fraction is:

Given that numerator is decreased by 10 % and denominator is decreased by 70 %

Decreased by 10 % means = 100 % - 10 % = 90 %

Decreased by 70 % means = 100 % - 70 % = 30 %

Then the new numerator is: n - 90% of n = n - 0.9n = 0.1n

Then the new denominator is: d - 30 % of d = d - 0.3d = 0.7d

Then the new fraction is:

Percent change is given as:

Hence the fraction is decreased by 85.71 %

by 200%

Step-by-step explanation:

given a fraction lets say a/b

the numerator is decreased by 10% = 10/100 of a = 0.1a

the new numerator is a - 0.1a = 0.9a

the denominator is decreased by 70% = 70/100 of b = 0.7b

the new denominator is b - 0.7b = 0.3b

so our new fraction is = 0.9a/0.3b

                                    = 3(a/b)

percentage change =(the new coefficient - old coefficient)/(old coefficient) *100

percentage change = (3-1)/1  *100

percentage change = 2 * 100

percentage change = 200%

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1