Evaluate
\frac{31}{24}\approx 1.291666667
Factor
\frac{31}{3 \cdot 2 ^ {3}} = 1\frac{7}{24} = 1.2916666666666667
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2.625-\frac{1}{3}-1
Add 0.125 and 2.5 to get 2.625.
\frac{21}{8}-\frac{1}{3}-1
Convert decimal number 2.625 to fraction \frac{2625}{1000}. Reduce the fraction \frac{2625}{1000} to lowest terms by extracting and canceling out 125.
\frac{63}{24}-\frac{8}{24}-1
Least common multiple of 8 and 3 is 24. Convert \frac{21}{8} and \frac{1}{3} to fractions with denominator 24.
\frac{63-8}{24}-1
Since \frac{63}{24} and \frac{8}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{55}{24}-1
Subtract 8 from 63 to get 55.
\frac{55}{24}-\frac{24}{24}
Convert 1 to fraction \frac{24}{24}.
\frac{55-24}{24}
Since \frac{55}{24} and \frac{24}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{31}{24}
Subtract 24 from 55 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}