Evaluate
\frac{145}{126}\approx 1.150793651
Factor
\frac{5 \cdot 29}{2 \cdot 3 ^ {2} \cdot 7} = 1\frac{19}{126} = 1.1507936507936507
Share
Copied to clipboard
\frac{\frac{24}{6}+\frac{5}{6}}{5-\frac{4}{5}}
Convert 4 to fraction \frac{24}{6}.
\frac{\frac{24+5}{6}}{5-\frac{4}{5}}
Since \frac{24}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.
\frac{\frac{29}{6}}{5-\frac{4}{5}}
Add 24 and 5 to get 29.
\frac{\frac{29}{6}}{\frac{25}{5}-\frac{4}{5}}
Convert 5 to fraction \frac{25}{5}.
\frac{\frac{29}{6}}{\frac{25-4}{5}}
Since \frac{25}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{29}{6}}{\frac{21}{5}}
Subtract 4 from 25 to get 21.
\frac{29}{6}\times \frac{5}{21}
Divide \frac{29}{6} by \frac{21}{5} by multiplying \frac{29}{6} by the reciprocal of \frac{21}{5}.
\frac{29\times 5}{6\times 21}
Multiply \frac{29}{6} times \frac{5}{21} by multiplying numerator times numerator and denominator times denominator.
\frac{145}{126}
Do the multiplications in the fraction \frac{29\times 5}{6\times 21}.
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}