Evaluate
7.125
Factor
\frac{3 \cdot 19}{2 ^ {3}} = 7\frac{1}{8} = 7.125
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\frac{1}{4}\times \frac{157}{50}\times 25-\frac{1}{2}\times 5\times 5
Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.
\frac{1\times 157}{4\times 50}\times 25-\frac{1}{2}\times 5\times 5
Multiply \frac{1}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.
\frac{157}{200}\times 25-\frac{1}{2}\times 5\times 5
Do the multiplications in the fraction \frac{1\times 157}{4\times 50}.
\frac{157\times 25}{200}-\frac{1}{2}\times 5\times 5
Express \frac{157}{200}\times 25 as a single fraction.
\frac{3925}{200}-\frac{1}{2}\times 5\times 5
Multiply 157 and 25 to get 3925.
\frac{157}{8}-\frac{1}{2}\times 5\times 5
Reduce the fraction \frac{3925}{200} to lowest terms by extracting and canceling out 25.
\frac{157}{8}-\frac{5}{2}\times 5
Multiply \frac{1}{2} and 5 to get \frac{5}{2}.
\frac{157}{8}-\frac{5\times 5}{2}
Express \frac{5}{2}\times 5 as a single fraction.
\frac{157}{8}-\frac{25}{2}
Multiply 5 and 5 to get 25.
\frac{157}{8}-\frac{100}{8}
Least common multiple of 8 and 2 is 8. Convert \frac{157}{8} and \frac{25}{2} to fractions with denominator 8.
\frac{157-100}{8}
Since \frac{157}{8} and \frac{100}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{57}{8}
Subtract 100 from 157 to get 57.
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}