Evaluate
\frac{5693}{140}\approx 40.664285714
Factor
\frac{5693}{5 \cdot 7 \cdot 2 ^ {2}} = 40\frac{93}{140} = 40.66428571428571
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4.5+2.1+2.5+3.9+3.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}
Add 2.1 and 2.4 to get 4.5.
6.6+2.5+3.9+3.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}
Add 4.5 and 2.1 to get 6.6.
9.1+3.9+3.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}
Add 6.6 and 2.5 to get 9.1.
13+3.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}
Add 9.1 and 3.9 to get 13.
16.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}
Add 13 and 3.6 to get 16.6.
20.6+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}
Add 16.6 and 4 to get 20.6.
23.6+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}
Add 20.6 and 3 to get 23.6.
27.3+2.4+2.9+3.6+4.2+\frac{3.7}{14}
Add 23.6 and 3.7 to get 27.3.
29.7+2.9+3.6+4.2+\frac{3.7}{14}
Add 27.3 and 2.4 to get 29.7.
32.6+3.6+4.2+\frac{3.7}{14}
Add 29.7 and 2.9 to get 32.6.
36.2+4.2+\frac{3.7}{14}
Add 32.6 and 3.6 to get 36.2.
40.4+\frac{3.7}{14}
Add 36.2 and 4.2 to get 40.4.
40.4+\frac{37}{140}
Expand \frac{3.7}{14} by multiplying both numerator and the denominator by 10.
\frac{202}{5}+\frac{37}{140}
Convert decimal number 40.4 to fraction \frac{404}{10}. Reduce the fraction \frac{404}{10} to lowest terms by extracting and canceling out 2.
\frac{5656}{140}+\frac{37}{140}
Least common multiple of 5 and 140 is 140. Convert \frac{202}{5} and \frac{37}{140} to fractions with denominator 140.
\frac{5656+37}{140}
Since \frac{5656}{140} and \frac{37}{140} have the same denominator, add them by adding their numerators.
\frac{5693}{140}
Add 5656 and 37 to get 5693.
Examples
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{ 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}