Evaluate
\frac{85}{54}\approx 1.574074074
Factor
\frac{5 \cdot 17}{2 \cdot 3 ^ {3}} = 1\frac{31}{54} = 1.5740740740740742
Share
Copied to clipboard
\frac{60+90}{15}\times \frac{41}{108}\times \frac{34}{82}
Multiply 4 and 15 to get 60.
\frac{150}{15}\times \frac{41}{108}\times \frac{34}{82}
Add 60 and 90 to get 150.
10\times \frac{41}{108}\times \frac{34}{82}
Divide 150 by 15 to get 10.
\frac{10\times 41}{108}\times \frac{34}{82}
Express 10\times \frac{41}{108} as a single fraction.
\frac{410}{108}\times \frac{34}{82}
Multiply 10 and 41 to get 410.
\frac{205}{54}\times \frac{34}{82}
Reduce the fraction \frac{410}{108} to lowest terms by extracting and canceling out 2.
\frac{205}{54}\times \frac{17}{41}
Reduce the fraction \frac{34}{82} to lowest terms by extracting and canceling out 2.
\frac{205\times 17}{54\times 41}
Multiply \frac{205}{54} times \frac{17}{41} by multiplying numerator times numerator and denominator times denominator.
\frac{3485}{2214}
Do the multiplications in the fraction \frac{205\times 17}{54\times 41}.
\frac{85}{54}
Reduce the fraction \frac{3485}{2214} to lowest terms by extracting and canceling out 41.
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}