Evaluate
48
Factor
3\times 2^{4}
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18.72+6.1\times \frac{4\times 5+4}{5}
Multiply 4.8 and 3.9 to get 18.72.
18.72+6.1\times \frac{20+4}{5}
Multiply 4 and 5 to get 20.
18.72+6.1\times \frac{24}{5}
Add 20 and 4 to get 24.
18.72+\frac{61}{10}\times \frac{24}{5}
Convert decimal number 6.1 to fraction \frac{61}{10}.
18.72+\frac{61\times 24}{10\times 5}
Multiply \frac{61}{10} times \frac{24}{5} by multiplying numerator times numerator and denominator times denominator.
18.72+\frac{1464}{50}
Do the multiplications in the fraction \frac{61\times 24}{10\times 5}.
18.72+\frac{732}{25}
Reduce the fraction \frac{1464}{50} to lowest terms by extracting and canceling out 2.
\frac{468}{25}+\frac{732}{25}
Convert decimal number 18.72 to fraction \frac{1872}{100}. Reduce the fraction \frac{1872}{100} to lowest terms by extracting and canceling out 4.
\frac{468+732}{25}
Since \frac{468}{25} and \frac{732}{25} have the same denominator, add them by adding their numerators.
\frac{1200}{25}
Add 468 and 732 to get 1200.
48
Divide 1200 by 25 to get 48.
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}