Solve for x
x=0.18
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\frac{18}{76}=\frac{5x}{3.8}
Expand \frac{1.8}{7.6} by multiplying both numerator and the denominator by 10.
\frac{9}{38}=\frac{5x}{3.8}
Reduce the fraction \frac{18}{76} to lowest terms by extracting and canceling out 2.
\frac{9}{38}=\frac{25}{19}x
Divide 5x by 3.8 to get \frac{25}{19}x.
\frac{25}{19}x=\frac{9}{38}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{9}{38}}{\frac{25}{19}}
Divide both sides by \frac{25}{19}.
x=\frac{9}{38\times \frac{25}{19}}
Express \frac{\frac{9}{38}}{\frac{25}{19}} as a single fraction.
x=\frac{9}{50}
Multiply 38 and \frac{25}{19} to get 50.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}