\frac { 6 } { 4 } \times 10,5
Evaluate
15,75
Factor
\frac{7 \cdot 3 ^ {2}}{2 ^ {2}} = 15\frac{3}{4} = 15.75
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\frac{3}{2}\times 10,5
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{2}\times \frac{21}{2}
Convert decimal number 10,5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.
\frac{3\times 21}{2\times 2}
Multiply \frac{3}{2} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{63}{4}
Do the multiplications in the fraction \frac{3\times 21}{2\times 2}.
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}