\left. \begin{array} { l } { \frac { 32 } { 15 } + 3 - \frac { 17 } { 20 } } \\ { 2 \quad 5 } \end{array} \right.
Sort
\frac{257}{60},\ 25
Evaluate
\frac{257}{60},\ 25
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sort(\frac{32}{15}+\frac{45}{15}-\frac{17}{20},25)
Convert 3 to fraction \frac{45}{15}.
sort(\frac{32+45}{15}-\frac{17}{20},25)
Since \frac{32}{15} and \frac{45}{15} have the same denominator, add them by adding their numerators.
sort(\frac{77}{15}-\frac{17}{20},25)
Add 32 and 45 to get 77.
sort(\frac{308}{60}-\frac{51}{60},25)
Least common multiple of 15 and 20 is 60. Convert \frac{77}{15} and \frac{17}{20} to fractions with denominator 60.
sort(\frac{308-51}{60},25)
Since \frac{308}{60} and \frac{51}{60} have the same denominator, subtract them by subtracting their numerators.
sort(\frac{257}{60},25)
Subtract 51 from 308 to get 257.
\frac{257}{60},25
Convert decimal numbers in the list \frac{257}{60},25 to fractions.
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}