7,8 - 8 \frac { 1 } { 4 } =
Evaluate
-0,45
Factor
-0,45
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7,8-\frac{32+1}{4}
Multiply 8 and 4 to get 32.
7,8-\frac{33}{4}
Add 32 and 1 to get 33.
\frac{39}{5}-\frac{33}{4}
Convert decimal number 7,8 to fraction \frac{78}{10}. Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.
\frac{156}{20}-\frac{165}{20}
Least common multiple of 5 and 4 is 20. Convert \frac{39}{5} and \frac{33}{4} to fractions with denominator 20.
\frac{156-165}{20}
Since \frac{156}{20} and \frac{165}{20} have the same denominator, subtract them by subtracting their numerators.
-\frac{9}{20}
Subtract 165 from 156 to get -9.
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}