Evaluate
\frac{y}{8}+\frac{3}{5}
Factor
\frac{5y+24}{40}
Graph
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\frac{3\times 8}{40}+\frac{5y}{40}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 8 is 40. Multiply \frac{3}{5} times \frac{8}{8}. Multiply \frac{y}{8} times \frac{5}{5}.
\frac{3\times 8+5y}{40}
Since \frac{3\times 8}{40} and \frac{5y}{40} have the same denominator, add them by adding their numerators.
\frac{24+5y}{40}
Do the multiplications in 3\times 8+5y.
\frac{24+5y}{40}
Factor out \frac{1}{40}.
Examples
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y = 3x + 4
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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
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Limits
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