Evaluate
1.56
Factor
\frac{3 \cdot 13}{5 ^ {2}} = 1\frac{14}{25} = 1.56
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0.51+\frac{3234}{3080}
Expand \frac{3.234}{3.08} by multiplying both numerator and the denominator by 1000.
0.51+\frac{21}{20}
Reduce the fraction \frac{3234}{3080} to lowest terms by extracting and canceling out 154.
\frac{51}{100}+\frac{21}{20}
Convert decimal number 0.51 to fraction \frac{51}{100}.
\frac{51}{100}+\frac{105}{100}
Least common multiple of 100 and 20 is 100. Convert \frac{51}{100} and \frac{21}{20} to fractions with denominator 100.
\frac{51+105}{100}
Since \frac{51}{100} and \frac{105}{100} have the same denominator, add them by adding their numerators.
\frac{156}{100}
Add 51 and 105 to get 156.
\frac{39}{25}
Reduce the fraction \frac{156}{100} to lowest terms by extracting and canceling out 4.
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}