Evaluate
\frac{103}{8}=12.875
Factor
\frac{103}{2 ^ {3}} = 12\frac{7}{8} = 12.875
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\frac{200+1}{8}-\frac{12\times 4+1}{4}
Multiply 25 and 8 to get 200.
\frac{201}{8}-\frac{12\times 4+1}{4}
Add 200 and 1 to get 201.
\frac{201}{8}-\frac{48+1}{4}
Multiply 12 and 4 to get 48.
\frac{201}{8}-\frac{49}{4}
Add 48 and 1 to get 49.
\frac{201}{8}-\frac{98}{8}
Least common multiple of 8 and 4 is 8. Convert \frac{201}{8} and \frac{49}{4} to fractions with denominator 8.
\frac{201-98}{8}
Since \frac{201}{8} and \frac{98}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{103}{8}
Subtract 98 from 201 to get 103.
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}