Solve.
-The denominator of the fraction $\frac { 4 } { 13 }$ is increased by an amount so that the value of the resulting fraction is $\frac { 2 } { 11 }$. Determine the amount by which the denominator was increased.
A) 9
B) 35
C) $\frac { 18 } { 11 }$
D) 10

Question

Quizplus · Accepted Answer

The original fraction is $\frac{4}{13}$. To find the amount by which the denominator was increased to get the new fraction $\frac{2}{11}$, we set up the equation $\frac{4}{13+x} = \frac{2}{11}$, where $x$ is the amount added to the denominator. Cross-multiplying gives $44 = 26 + 2x$, leading to $18 = 2x$, so $x = 9$.

Solve -The Denominator of the Fraction 413\frac { 4 } { 13 }134​

Solve
-The Denominator of the Fraction $\frac { 4 } { 13 }$