Evaluate
-\frac{38}{7}\approx -5.428571429
Factor
-\frac{38}{7} = -5\frac{3}{7} = -5.428571428571429
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1-\frac{15\times 3}{7}
Express 15\times \frac{3}{7} as a single fraction.
1-\frac{45}{7}
Multiply 15 and 3 to get 45.
\frac{7}{7}-\frac{45}{7}
Convert 1 to fraction \frac{7}{7}.
\frac{7-45}{7}
Since \frac{7}{7} and \frac{45}{7} have the same denominator, subtract them by subtracting their numerators.
-\frac{38}{7}
Subtract 45 from 7 to get -38.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}