Evaluate
\frac{21}{4}=5.25
Factor
\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25
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\frac{20+1}{5}\times \frac{1\times 4+1}{4}
Multiply 4 and 5 to get 20.
\frac{21}{5}\times \frac{1\times 4+1}{4}
Add 20 and 1 to get 21.
\frac{21}{5}\times \frac{4+1}{4}
Multiply 1 and 4 to get 4.
\frac{21}{5}\times \frac{5}{4}
Add 4 and 1 to get 5.
\frac{21\times 5}{5\times 4}
Multiply \frac{21}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{21}{4}
Cancel out 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}