Evaluate
\frac{5a}{3}+\frac{35}{9}
Expand
\frac{5a}{3}+\frac{35}{9}
Share
Copied to clipboard
\left(\frac{7}{3}+a\right)\times \frac{7-2}{3}
Since \frac{7}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.
\left(\frac{7}{3}+a\right)\times \frac{5}{3}
Subtract 2 from 7 to get 5.
\frac{7}{3}\times \frac{5}{3}+a\times \frac{5}{3}
Use the distributive property to multiply \frac{7}{3}+a by \frac{5}{3}.
\frac{7\times 5}{3\times 3}+a\times \frac{5}{3}
Multiply \frac{7}{3} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{35}{9}+a\times \frac{5}{3}
Do the multiplications in the fraction \frac{7\times 5}{3\times 3}.
\left(\frac{7}{3}+a\right)\times \frac{7-2}{3}
Since \frac{7}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.
\left(\frac{7}{3}+a\right)\times \frac{5}{3}
Subtract 2 from 7 to get 5.
\frac{7}{3}\times \frac{5}{3}+a\times \frac{5}{3}
Use the distributive property to multiply \frac{7}{3}+a by \frac{5}{3}.
\frac{7\times 5}{3\times 3}+a\times \frac{5}{3}
Multiply \frac{7}{3} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{35}{9}+a\times \frac{5}{3}
Do the multiplications in the fraction \frac{7\times 5}{3\times 3}.
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}