Evaluate
\frac{10y}{21}+\frac{2}{3}
Expand
\frac{10y}{21}+\frac{2}{3}
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\frac{7\left(y+2\right)}{21}+\frac{3y}{21}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 7 is 21. Multiply \frac{y+2}{3} times \frac{7}{7}. Multiply \frac{y}{7} times \frac{3}{3}.
\frac{7\left(y+2\right)+3y}{21}
Since \frac{7\left(y+2\right)}{21} and \frac{3y}{21} have the same denominator, add them by adding their numerators.
\frac{7y+14+3y}{21}
Do the multiplications in 7\left(y+2\right)+3y.
\frac{10y+14}{21}
Combine like terms in 7y+14+3y.
\frac{7\left(y+2\right)}{21}+\frac{3y}{21}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 7 is 21. Multiply \frac{y+2}{3} times \frac{7}{7}. Multiply \frac{y}{7} times \frac{3}{3}.
\frac{7\left(y+2\right)+3y}{21}
Since \frac{7\left(y+2\right)}{21} and \frac{3y}{21} have the same denominator, add them by adding their numerators.
\frac{7y+14+3y}{21}
Do the multiplications in 7\left(y+2\right)+3y.
\frac{10y+14}{21}
Combine like terms in 7y+14+3y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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699 * 533
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}