Evaluate
\frac{31}{35}\approx 0.885714286
Factor
\frac{31}{5 \cdot 7} = 0.8857142857142857
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\frac{3}{5}-\left(-\frac{2}{7}\right)
Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.
\frac{3}{5}+\frac{2}{7}
The opposite of -\frac{2}{7} is \frac{2}{7}.
\frac{21}{35}+\frac{10}{35}
Least common multiple of 5 and 7 is 35. Convert \frac{3}{5} and \frac{2}{7} to fractions with denominator 35.
\frac{21+10}{35}
Since \frac{21}{35} and \frac{10}{35} have the same denominator, add them by adding their numerators.
\frac{31}{35}
Add 21 and 10 to get 31.
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}