Evaluate
\frac{25}{14}\approx 1.785714286
Factor
\frac{5 ^ {2}}{2 \cdot 7} = 1\frac{11}{14} = 1.7857142857142858
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\frac{21+2}{7}-1.5
Multiply 3 and 7 to get 21.
\frac{23}{7}-1.5
Add 21 and 2 to get 23.
\frac{23}{7}-\frac{3}{2}
Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.
\frac{46}{14}-\frac{21}{14}
Least common multiple of 7 and 2 is 14. Convert \frac{23}{7} and \frac{3}{2} to fractions with denominator 14.
\frac{46-21}{14}
Since \frac{46}{14} and \frac{21}{14} have the same denominator, subtract them by subtracting their numerators.
\frac{25}{14}
Subtract 21 from 46 to get 25.
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}