A fraction

I think of a fraction. If we increase its numerator and denominator by one, the value of the fraction increases by one-tenth. What fraction do I think?

Final Answer:

x =  2/5

Step-by-step explanation:

a/b = x b+1a+1​ = 101​ + ba​ (a+1)/(b+1) = 1/10 + a/b (a+1)/(b+1) = 10bb+10a​  a=2 −10⋅ a−b2+9⋅ b=0  −10⋅ 2−b2+9⋅ b=0 −b2+9b−20=0 b2−9b+20=0  p=1;q=−9;r=20 D=q2−4pr=92−4⋅1⋅20=1 D>0  b1,2​=2p−q±D​​=29±1​​ b1,2​=29±1​ b1,2​=4.5±0.5 b1​=5 b2​=4  b=b1​=5  x=a/b=2/5=52​=0.4   Verifying Solution:   r1​=4+12+1​−101​=21​=0.5 r2​=5+12+1​−101​=52​=0.4

Our quadratic equation calculator calculates it.


Try another example


Help us improve the example. If you find a mistake, let us know. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Need help calculating a sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you solve Diofant problems and are looking for a calculator of Diofant integer equations?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

algebranumbersGrade of the word problem

Related math problems and questions: