MathMaster logo

MathMaster

  1. Home
  2. general
  3. given the fraction ab if n times the denominator is subtracted from the numerator and n times the numerator from the denom
Question

Given the fraction ab, if n times the denominator is subtracted from the numerator and n times the numerator from the denominator, 2 is obtained, then said fraction in terms of n will be

56

likes
280 views

Answer to a math question Given the fraction ab, if n times the denominator is subtracted from the numerator and n times the numerator from the denominator, 2 is obtained, then said fraction in terms of n will be

Expert avatar
Sigrid
4.5
119 Answers
\text{1. Start with the fraction } \frac{a}{b} \text{ and set up the given condition:} \\\frac{a - nb}{b - na} = 2

\text{2. Cross-multiply to clear the fraction: } \\a - nb = 2(b - na)

\text{3. Distribute and simplify both sides:} \\a - nb = 2b - 2na

\text{4. Rearrange to collect all terms involving } a \text{ on one side and terms involving } b \text{ on the other:} \\a + 2na = 2b + nb

\text{5. Factor out common factors from both sides: } \\a(1 + 2n) = b(2 + n)

\text{6. Isolate } \frac{a}{b} \text{:} \\\frac{a}{b} = \frac{2 + n}{1 + 2n}

\text{7. Therefore, the fraction } \frac{a}{b} \text{ in terms of } n \text{ is } \frac{2 + n}{1 + 2n}

Frequently asked questions (FAQs)
What is the domain of the function f(x) = sin(x) + cos(2x) where x is in radians?
+
What is the value of angle A in a triangle with side lengths a=7, b=10, and c=12 using the Sine Law?
+
What is the dot product of two vectors with components (-3, 2) and (4, 5)?
+
New questions in Mathematics
-11+29-18
58+861-87
A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
(2b) to the 1/4th power. Write the expression in radical form.
prove that if n odd integer then n^2+5 is even
Let r: x - y 5 = 0. Determine a general equation of the line s parallel to the line r, which forms an isosceles triangle with area 8 with the line x = 5 and the Ox axis.
The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. 84. Find the probability that the average price for 30 gas stations is less than $4.55. a 0.6554 b 0.3446 c 0.0142 d 0.9858 e 0
A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall
Estimate the quotient for 3.24 ÷ 82
(2m+3)(4m+3)=0
Calculate the difference between 407 and 27
Let X be a discrete random variable such that E(X)=3 and V(X)=5. Let 𝑌 = 2𝑋^2 − 3𝑋. Determine E(Y).
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
A person runs 175 yards per minute write a variable that represents the relationship between time and distance
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
Dano forgot his computer password. The password was four characters long. Dano remembered only three characters: 3, g, N. The last character was one of the numbers 3, 5, 7, 9. How many possible expansions are there for Dano's password?
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.

You might be interested in