Evaluate
\frac{305}{14}\approx 21.785714286
Factor
\frac{5 \cdot 61}{2 \cdot 7} = 21\frac{11}{14} = 21.785714285714285
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20+\frac{2.5}{7}\times 5
Subtract 8 from 10.5 to get 2.5.
20+\frac{25}{70}\times 5
Expand \frac{2.5}{7} by multiplying both numerator and the denominator by 10.
20+\frac{5}{14}\times 5
Reduce the fraction \frac{25}{70} to lowest terms by extracting and canceling out 5.
20+\frac{5\times 5}{14}
Express \frac{5}{14}\times 5 as a single fraction.
20+\frac{25}{14}
Multiply 5 and 5 to get 25.
\frac{280}{14}+\frac{25}{14}
Convert 20 to fraction \frac{280}{14}.
\frac{280+25}{14}
Since \frac{280}{14} and \frac{25}{14} have the same denominator, add them by adding their numerators.
\frac{305}{14}
Add 280 and 25 to get 305.
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}