Evaluate
-\frac{2025}{77}\approx -26.298701299
Factor
-\frac{2025}{77} = -26\frac{23}{77} = -26.2987012987013
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-\frac{45}{11}\times \frac{6\times 7+3}{7}
Reduce the fraction \frac{135}{-33} to lowest terms by extracting and canceling out 3.
-\frac{45}{11}\times \frac{42+3}{7}
Multiply 6 and 7 to get 42.
-\frac{45}{11}\times \frac{45}{7}
Add 42 and 3 to get 45.
\frac{-45\times 45}{11\times 7}
Multiply -\frac{45}{11} times \frac{45}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{-2025}{77}
Do the multiplications in the fraction \frac{-45\times 45}{11\times 7}.
-\frac{2025}{77}
Fraction \frac{-2025}{77} can be rewritten as -\frac{2025}{77} by extracting the negative sign.
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y = 3x + 4
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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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}