\frac { 1 } { 5 } = \frac { x } { 6,25 }
Solve for x
x=1,25
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\frac{1}{5}\times 6,25=x
Multiply both sides by 6,25.
\frac{1}{5}\times \frac{25}{4}=x
Convert decimal number 6,25 to fraction \frac{625}{100}. Reduce the fraction \frac{625}{100} to lowest terms by extracting and canceling out 25.
\frac{1\times 25}{5\times 4}=x
Multiply \frac{1}{5} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{25}{20}=x
Do the multiplications in the fraction \frac{1\times 25}{5\times 4}.
\frac{5}{4}=x
Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.
x=\frac{5}{4}
Swap sides so that all variable terms are on the left hand side.
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
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Limits
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