( 4 \times 10 ) + ( 2 \times 1 ) + ( 5 \times \frac { 1 } { 10 } ) + ( 1 \times \frac { 1 } { 100 } ) + ( 4 \cdot \frac { 1 } { 1.000 }
Evaluate
\frac{4651}{100}=46.51
Factor
\frac{4651}{2 ^ {2} \cdot 5 ^ {2}} = 46\frac{51}{100} = 46.51
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4\times 10+2\times 1+5\times \frac{1}{10}+1\times \frac{1}{100}+4\times 1
Divide 1 by 1 to get 1.
40+2+5\times \frac{1}{10}+1\times \frac{1}{100}+4
Multiply 4 and 10 to get 40. Multiply 2 and 1 to get 2. Multiply 4 and 1 to get 4.
42+5\times \frac{1}{10}+1\times \frac{1}{100}+4
Add 40 and 2 to get 42.
42+\frac{5}{10}+1\times \frac{1}{100}+4
Multiply 5 and \frac{1}{10} to get \frac{5}{10}.
42+\frac{1}{2}+1\times \frac{1}{100}+4
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{84}{2}+\frac{1}{2}+1\times \frac{1}{100}+4
Convert 42 to fraction \frac{84}{2}.
\frac{84+1}{2}+1\times \frac{1}{100}+4
Since \frac{84}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{85}{2}+1\times \frac{1}{100}+4
Add 84 and 1 to get 85.
\frac{85}{2}+\frac{1}{100}+4
Multiply 1 and \frac{1}{100} to get \frac{1}{100}.
\frac{4250}{100}+\frac{1}{100}+4
Least common multiple of 2 and 100 is 100. Convert \frac{85}{2} and \frac{1}{100} to fractions with denominator 100.
\frac{4250+1}{100}+4
Since \frac{4250}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.
\frac{4251}{100}+4
Add 4250 and 1 to get 4251.
\frac{4251}{100}+\frac{400}{100}
Convert 4 to fraction \frac{400}{100}.
\frac{4251+400}{100}
Since \frac{4251}{100} and \frac{400}{100} have the same denominator, add them by adding their numerators.
\frac{4651}{100}
Add 4251 and 400 to get 4651.
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}