Evaluate
80.625
Factor
\frac{3 \cdot 5 \cdot 43}{2 ^ {3}} = 80\frac{5}{8} = 80.625
Share
Copied to clipboard
\left(\frac{3}{4}+\frac{16+3}{8}\right)\times 25.8
Multiply 2 and 8 to get 16.
\left(\frac{3}{4}+\frac{19}{8}\right)\times 25.8
Add 16 and 3 to get 19.
\left(\frac{6}{8}+\frac{19}{8}\right)\times 25.8
Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{19}{8} to fractions with denominator 8.
\frac{6+19}{8}\times 25.8
Since \frac{6}{8} and \frac{19}{8} have the same denominator, add them by adding their numerators.
\frac{25}{8}\times 25.8
Add 6 and 19 to get 25.
\frac{25}{8}\times \frac{129}{5}
Convert decimal number 25.8 to fraction \frac{258}{10}. Reduce the fraction \frac{258}{10} to lowest terms by extracting and canceling out 2.
\frac{25\times 129}{8\times 5}
Multiply \frac{25}{8} times \frac{129}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{3225}{40}
Do the multiplications in the fraction \frac{25\times 129}{8\times 5}.
\frac{645}{8}
Reduce the fraction \frac{3225}{40} to lowest terms by extracting and canceling out 5.
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}