+ 125 \% \times 2.5 + \frac { 5 } { 4 } \div 10
Evaluate
3.25
Factor
\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25
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\frac{5}{4}\times 2.5+\frac{\frac{5}{4}}{10}
Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.
\frac{5}{4}\times \frac{5}{2}+\frac{\frac{5}{4}}{10}
Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.
\frac{5\times 5}{4\times 2}+\frac{\frac{5}{4}}{10}
Multiply \frac{5}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{25}{8}+\frac{\frac{5}{4}}{10}
Do the multiplications in the fraction \frac{5\times 5}{4\times 2}.
\frac{25}{8}+\frac{5}{4\times 10}
Express \frac{\frac{5}{4}}{10} as a single fraction.
\frac{25}{8}+\frac{5}{40}
Multiply 4 and 10 to get 40.
\frac{25}{8}+\frac{1}{8}
Reduce the fraction \frac{5}{40} to lowest terms by extracting and canceling out 5.
\frac{25+1}{8}
Since \frac{25}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.
\frac{26}{8}
Add 25 and 1 to get 26.
\frac{13}{4}
Reduce the fraction \frac{26}{8} to lowest terms by extracting and canceling out 2.
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}