Evaluate
\frac{31}{2}=15.5
Factor
\frac{31}{2} = 15\frac{1}{2} = 15.5
Share
Copied to clipboard
\left(\frac{7}{4}-\frac{36}{4}-\frac{1}{2}\right)\left(-2\right)
Convert 9 to fraction \frac{36}{4}.
\left(\frac{7-36}{4}-\frac{1}{2}\right)\left(-2\right)
Since \frac{7}{4} and \frac{36}{4} have the same denominator, subtract them by subtracting their numerators.
\left(-\frac{29}{4}-\frac{1}{2}\right)\left(-2\right)
Subtract 36 from 7 to get -29.
\left(-\frac{29}{4}-\frac{2}{4}\right)\left(-2\right)
Least common multiple of 4 and 2 is 4. Convert -\frac{29}{4} and \frac{1}{2} to fractions with denominator 4.
\frac{-29-2}{4}\left(-2\right)
Since -\frac{29}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.
-\frac{31}{4}\left(-2\right)
Subtract 2 from -29 to get -31.
\frac{-31\left(-2\right)}{4}
Express -\frac{31}{4}\left(-2\right) as a single fraction.
\frac{62}{4}
Multiply -31 and -2 to get 62.
\frac{31}{2}
Reduce the fraction \frac{62}{4} 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}