Evaluate
41
Factor
41
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2+\frac{10\times 6}{3\times 1.5}\times 3-1
Express \frac{\frac{10\times 6}{3}}{1.5} as a single fraction.
2+\frac{2\times 10}{1.5}\times 3-1
Cancel out 3 in both numerator and denominator.
2+\frac{20}{1.5}\times 3-1
Multiply 2 and 10 to get 20.
2+\frac{200}{15}\times 3-1
Expand \frac{20}{1.5} by multiplying both numerator and the denominator by 10.
2+\frac{40}{3}\times 3-1
Reduce the fraction \frac{200}{15} to lowest terms by extracting and canceling out 5.
2+40-1
Cancel out 3 and 3.
42-1
Add 2 and 40 to get 42.
41
Subtract 1 from 42 to get 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}