Evaluate
\frac{a+6}{a+4}
Expand
\frac{a+6}{a+4}
Quiz
Polynomial
5 problems similar to:
\frac { 1 + \frac { 1 } { a + 5 } } { 1 - \frac { 1 } { a + 5 } } =
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\frac{\frac{a+5}{a+5}+\frac{1}{a+5}}{1-\frac{1}{a+5}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a+5}{a+5}.
\frac{\frac{a+5+1}{a+5}}{1-\frac{1}{a+5}}
Since \frac{a+5}{a+5} and \frac{1}{a+5} have the same denominator, add them by adding their numerators.
\frac{\frac{a+6}{a+5}}{1-\frac{1}{a+5}}
Combine like terms in a+5+1.
\frac{\frac{a+6}{a+5}}{\frac{a+5}{a+5}-\frac{1}{a+5}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a+5}{a+5}.
\frac{\frac{a+6}{a+5}}{\frac{a+5-1}{a+5}}
Since \frac{a+5}{a+5} and \frac{1}{a+5} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{a+6}{a+5}}{\frac{a+4}{a+5}}
Combine like terms in a+5-1.
\frac{\left(a+6\right)\left(a+5\right)}{\left(a+5\right)\left(a+4\right)}
Divide \frac{a+6}{a+5} by \frac{a+4}{a+5} by multiplying \frac{a+6}{a+5} by the reciprocal of \frac{a+4}{a+5}.
\frac{a+6}{a+4}
Cancel out a+5 in both numerator and denominator.
\frac{\frac{a+5}{a+5}+\frac{1}{a+5}}{1-\frac{1}{a+5}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a+5}{a+5}.
\frac{\frac{a+5+1}{a+5}}{1-\frac{1}{a+5}}
Since \frac{a+5}{a+5} and \frac{1}{a+5} have the same denominator, add them by adding their numerators.
\frac{\frac{a+6}{a+5}}{1-\frac{1}{a+5}}
Combine like terms in a+5+1.
\frac{\frac{a+6}{a+5}}{\frac{a+5}{a+5}-\frac{1}{a+5}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a+5}{a+5}.
\frac{\frac{a+6}{a+5}}{\frac{a+5-1}{a+5}}
Since \frac{a+5}{a+5} and \frac{1}{a+5} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{a+6}{a+5}}{\frac{a+4}{a+5}}
Combine like terms in a+5-1.
\frac{\left(a+6\right)\left(a+5\right)}{\left(a+5\right)\left(a+4\right)}
Divide \frac{a+6}{a+5} by \frac{a+4}{a+5} by multiplying \frac{a+6}{a+5} by the reciprocal of \frac{a+4}{a+5}.
\frac{a+6}{a+4}
Cancel out a+5 in both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}