Evaluate
28.375
Factor
\frac{227}{2 ^ {3}} = 28\frac{3}{8} = 28.375
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29+\frac{1}{4}\times 1.5-1
Add 25 and 4 to get 29.
29+\frac{1}{4}\times \frac{3}{2}-1
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.
29+\frac{1\times 3}{4\times 2}-1
Multiply \frac{1}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
29+\frac{3}{8}-1
Do the multiplications in the fraction \frac{1\times 3}{4\times 2}.
\frac{232}{8}+\frac{3}{8}-1
Convert 29 to fraction \frac{232}{8}.
\frac{232+3}{8}-1
Since \frac{232}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.
\frac{235}{8}-1
Add 232 and 3 to get 235.
\frac{235}{8}-\frac{8}{8}
Convert 1 to fraction \frac{8}{8}.
\frac{235-8}{8}
Since \frac{235}{8} and \frac{8}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{227}{8}
Subtract 8 from 235 to get 227.
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}