0,9 - 3,09 : 1,5
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-1,16
Factor
-1,16
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0,9-\frac{309}{150}
Expand \frac{3,09}{1,5} by multiplying both numerator and the denominator by 100.
0,9-\frac{103}{50}
Reduce the fraction \frac{309}{150} to lowest terms by extracting and canceling out 3.
\frac{9}{10}-\frac{103}{50}
Convert decimal number 0,9 to fraction \frac{9}{10}.
\frac{45}{50}-\frac{103}{50}
Least common multiple of 10 and 50 is 50. Convert \frac{9}{10} and \frac{103}{50} to fractions with denominator 50.
\frac{45-103}{50}
Since \frac{45}{50} and \frac{103}{50} have the same denominator, subtract them by subtracting their numerators.
\frac{-58}{50}
Subtract 103 from 45 to get -58.
-\frac{29}{25}
Reduce the fraction \frac{-58}{50} to lowest terms by extracting and canceling out 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}