Evaluate
\frac{21}{10}=2.1
Factor
\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1
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\frac{3}{4}\times \frac{10+4}{5}
Multiply 2 and 5 to get 10.
\frac{3}{4}\times \frac{14}{5}
Add 10 and 4 to get 14.
\frac{3\times 14}{4\times 5}
Multiply \frac{3}{4} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{42}{20}
Do the multiplications in the fraction \frac{3\times 14}{4\times 5}.
\frac{21}{10}
Reduce the fraction \frac{42}{20} to lowest terms by extracting and canceling out 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}