Evaluate
\frac{f_{2}+724}{102}
Expand
\frac{f_{2}}{102}+\frac{362}{51}
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\frac{f_{2}+10}{2\times 51}+7
Express \frac{\frac{f_{2}+10}{2}}{51} as a single fraction.
\frac{f_{2}+10}{102}+7
Multiply 2 and 51 to get 102.
\frac{f_{2}+10}{102}+\frac{7\times 102}{102}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{102}{102}.
\frac{f_{2}+10+7\times 102}{102}
Since \frac{f_{2}+10}{102} and \frac{7\times 102}{102} have the same denominator, add them by adding their numerators.
\frac{f_{2}+10+714}{102}
Do the multiplications in f_{2}+10+7\times 102.
\frac{f_{2}+724}{102}
Combine like terms in f_{2}+10+714.
\frac{f_{2}+10}{2\times 51}+7
Express \frac{\frac{f_{2}+10}{2}}{51} as a single fraction.
\frac{f_{2}+10}{102}+7
Multiply 2 and 51 to get 102.
\frac{f_{2}+10}{102}+\frac{7\times 102}{102}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{102}{102}.
\frac{f_{2}+10+7\times 102}{102}
Since \frac{f_{2}+10}{102} and \frac{7\times 102}{102} have the same denominator, add them by adding their numerators.
\frac{f_{2}+10+714}{102}
Do the multiplications in f_{2}+10+7\times 102.
\frac{f_{2}+724}{102}
Combine like terms in f_{2}+10+714.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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}