Evaluate
\frac{4\left(k+1\right)}{3\left(2k+1\right)}
Expand
\frac{4\left(k+1\right)}{3\left(2k+1\right)}
Quiz
Polynomial
5 problems similar to:
\frac { k + 1 } { 3 ( k + 6 ) } : \frac { 2 k + 1 } { 4 ( k + 6 ) }
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\frac{\left(k+1\right)\times 4\left(k+6\right)}{3\left(k+6\right)\left(2k+1\right)}
Divide \frac{k+1}{3\left(k+6\right)} by \frac{2k+1}{4\left(k+6\right)} by multiplying \frac{k+1}{3\left(k+6\right)} by the reciprocal of \frac{2k+1}{4\left(k+6\right)}.
\frac{4\left(k+1\right)}{3\left(2k+1\right)}
Cancel out k+6 in both numerator and denominator.
\frac{4k+4}{3\left(2k+1\right)}
Use the distributive property to multiply 4 by k+1.
\frac{4k+4}{6k+3}
Use the distributive property to multiply 3 by 2k+1.
\frac{\left(k+1\right)\times 4\left(k+6\right)}{3\left(k+6\right)\left(2k+1\right)}
Divide \frac{k+1}{3\left(k+6\right)} by \frac{2k+1}{4\left(k+6\right)} by multiplying \frac{k+1}{3\left(k+6\right)} by the reciprocal of \frac{2k+1}{4\left(k+6\right)}.
\frac{4\left(k+1\right)}{3\left(2k+1\right)}
Cancel out k+6 in both numerator and denominator.
\frac{4k+4}{3\left(2k+1\right)}
Use the distributive property to multiply 4 by k+1.
\frac{4k+4}{6k+3}
Use the distributive property to multiply 3 by 2k+1.
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}