Evaluate
\frac{2a}{9}+\frac{17}{4}
Expand
\frac{2a}{9}+\frac{17}{4}
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\frac{1}{5}+\frac{60+1}{15}-\frac{1}{60}+\frac{2}{9}a
Multiply 4 and 15 to get 60.
\frac{1}{5}+\frac{61}{15}-\frac{1}{60}+\frac{2}{9}a
Add 60 and 1 to get 61.
\frac{3}{15}+\frac{61}{15}-\frac{1}{60}+\frac{2}{9}a
Least common multiple of 5 and 15 is 15. Convert \frac{1}{5} and \frac{61}{15} to fractions with denominator 15.
\frac{3+61}{15}-\frac{1}{60}+\frac{2}{9}a
Since \frac{3}{15} and \frac{61}{15} have the same denominator, add them by adding their numerators.
\frac{64}{15}-\frac{1}{60}+\frac{2}{9}a
Add 3 and 61 to get 64.
\frac{256}{60}-\frac{1}{60}+\frac{2}{9}a
Least common multiple of 15 and 60 is 60. Convert \frac{64}{15} and \frac{1}{60} to fractions with denominator 60.
\frac{256-1}{60}+\frac{2}{9}a
Since \frac{256}{60} and \frac{1}{60} have the same denominator, subtract them by subtracting their numerators.
\frac{255}{60}+\frac{2}{9}a
Subtract 1 from 256 to get 255.
\frac{17}{4}+\frac{2}{9}a
Reduce the fraction \frac{255}{60} to lowest terms by extracting and canceling out 15.
\frac{1}{5}+\frac{60+1}{15}-\frac{1}{60}+\frac{2}{9}a
Multiply 4 and 15 to get 60.
\frac{1}{5}+\frac{61}{15}-\frac{1}{60}+\frac{2}{9}a
Add 60 and 1 to get 61.
\frac{3}{15}+\frac{61}{15}-\frac{1}{60}+\frac{2}{9}a
Least common multiple of 5 and 15 is 15. Convert \frac{1}{5} and \frac{61}{15} to fractions with denominator 15.
\frac{3+61}{15}-\frac{1}{60}+\frac{2}{9}a
Since \frac{3}{15} and \frac{61}{15} have the same denominator, add them by adding their numerators.
\frac{64}{15}-\frac{1}{60}+\frac{2}{9}a
Add 3 and 61 to get 64.
\frac{256}{60}-\frac{1}{60}+\frac{2}{9}a
Least common multiple of 15 and 60 is 60. Convert \frac{64}{15} and \frac{1}{60} to fractions with denominator 60.
\frac{256-1}{60}+\frac{2}{9}a
Since \frac{256}{60} and \frac{1}{60} have the same denominator, subtract them by subtracting their numerators.
\frac{255}{60}+\frac{2}{9}a
Subtract 1 from 256 to get 255.
\frac{17}{4}+\frac{2}{9}a
Reduce the fraction \frac{255}{60} to lowest terms by extracting and canceling out 15.
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}