( 5 - \frac { 7 } { 9 } ) : 6,3
Evaluate
\frac{380}{567}\approx 0,670194004
Factor
\frac{5 \cdot 19 \cdot 2 ^ {2}}{7 \cdot 3 ^ {4}} = 0.6701940035273368
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\frac{\frac{45}{9}-\frac{7}{9}}{6,3}
Convert 5 to fraction \frac{45}{9}.
\frac{\frac{45-7}{9}}{6,3}
Since \frac{45}{9} and \frac{7}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{38}{9}}{6,3}
Subtract 7 from 45 to get 38.
\frac{38}{9\times 6,3}
Express \frac{\frac{38}{9}}{6,3} as a single fraction.
\frac{38}{56,7}
Multiply 9 and 6,3 to get 56,7.
\frac{380}{567}
Expand \frac{38}{56,7} by multiplying both numerator and the denominator by 10.
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}