Evaluate
-\frac{37x}{15}
Expand
-\frac{37x}{15}
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Quiz
Algebra
5 problems similar to:
- \frac { 4 } { 5 } x \times 3 \frac { 1 } { 3 } + \frac { 1 } { 5 } x
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-\frac{4}{5}x\times \frac{9+1}{3}+\frac{1}{5}x
Multiply 3 and 3 to get 9.
-\frac{4}{5}x\times \frac{10}{3}+\frac{1}{5}x
Add 9 and 1 to get 10.
\frac{-4\times 10}{5\times 3}x+\frac{1}{5}x
Multiply -\frac{4}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-40}{15}x+\frac{1}{5}x
Do the multiplications in the fraction \frac{-4\times 10}{5\times 3}.
-\frac{8}{3}x+\frac{1}{5}x
Reduce the fraction \frac{-40}{15} to lowest terms by extracting and canceling out 5.
-\frac{37}{15}x
Combine -\frac{8}{3}x and \frac{1}{5}x to get -\frac{37}{15}x.
-\frac{4}{5}x\times \frac{9+1}{3}+\frac{1}{5}x
Multiply 3 and 3 to get 9.
-\frac{4}{5}x\times \frac{10}{3}+\frac{1}{5}x
Add 9 and 1 to get 10.
\frac{-4\times 10}{5\times 3}x+\frac{1}{5}x
Multiply -\frac{4}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-40}{15}x+\frac{1}{5}x
Do the multiplications in the fraction \frac{-4\times 10}{5\times 3}.
-\frac{8}{3}x+\frac{1}{5}x
Reduce the fraction \frac{-40}{15} to lowest terms by extracting and canceling out 5.
-\frac{37}{15}x
Combine -\frac{8}{3}x and \frac{1}{5}x to get -\frac{37}{15}x.
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}