Evaluate
a = -\frac{1}{4} = -0.25
Expand
a = -\frac{1}{4} = -0.25
Quiz
Polynomial
5 problems similar to:
- \frac { 2 } { 3 } ( - \frac { 3 } { 2 } a + \frac { 3 } { 8 } ) =
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-\frac{2}{3}\left(-\frac{3}{2}\right)a-\frac{2}{3}\times \frac{3}{8}
Use the distributive property to multiply -\frac{2}{3} by -\frac{3}{2}a+\frac{3}{8}.
\frac{-2\left(-3\right)}{3\times 2}a-\frac{2}{3}\times \frac{3}{8}
Multiply -\frac{2}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{6}a-\frac{2}{3}\times \frac{3}{8}
Do the multiplications in the fraction \frac{-2\left(-3\right)}{3\times 2}.
1a-\frac{2}{3}\times \frac{3}{8}
Divide 6 by 6 to get 1.
1a+\frac{-2\times 3}{3\times 8}
Multiply -\frac{2}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.
1a+\frac{-2}{8}
Cancel out 3 in both numerator and denominator.
1a-\frac{1}{4}
Reduce the fraction \frac{-2}{8} to lowest terms by extracting and canceling out 2.
a-\frac{1}{4}
For any term t, t\times 1=t and 1t=t.
-\frac{2}{3}\left(-\frac{3}{2}\right)a-\frac{2}{3}\times \frac{3}{8}
Use the distributive property to multiply -\frac{2}{3} by -\frac{3}{2}a+\frac{3}{8}.
\frac{-2\left(-3\right)}{3\times 2}a-\frac{2}{3}\times \frac{3}{8}
Multiply -\frac{2}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{6}a-\frac{2}{3}\times \frac{3}{8}
Do the multiplications in the fraction \frac{-2\left(-3\right)}{3\times 2}.
1a-\frac{2}{3}\times \frac{3}{8}
Divide 6 by 6 to get 1.
1a+\frac{-2\times 3}{3\times 8}
Multiply -\frac{2}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.
1a+\frac{-2}{8}
Cancel out 3 in both numerator and denominator.
1a-\frac{1}{4}
Reduce the fraction \frac{-2}{8} to lowest terms by extracting and canceling out 2.
a-\frac{1}{4}
For any term t, t\times 1=t and 1t=t.
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}