\frac{ 12 \% \times 12-10 \% \times 6 }{ 6 }
Evaluate
\frac{7}{50}=0.14
Factor
\frac{7}{2 \cdot 5 ^ {2}} = 0.14
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\frac{\frac{3}{25}\times 12-\frac{10}{100}\times 6}{6}
Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.
\frac{\frac{3\times 12}{25}-\frac{10}{100}\times 6}{6}
Express \frac{3}{25}\times 12 as a single fraction.
\frac{\frac{36}{25}-\frac{10}{100}\times 6}{6}
Multiply 3 and 12 to get 36.
\frac{\frac{36}{25}-\frac{1}{10}\times 6}{6}
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
\frac{\frac{36}{25}-\frac{6}{10}}{6}
Multiply \frac{1}{10} and 6 to get \frac{6}{10}.
\frac{\frac{36}{25}-\frac{3}{5}}{6}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{\frac{36}{25}-\frac{15}{25}}{6}
Least common multiple of 25 and 5 is 25. Convert \frac{36}{25} and \frac{3}{5} to fractions with denominator 25.
\frac{\frac{36-15}{25}}{6}
Since \frac{36}{25} and \frac{15}{25} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{21}{25}}{6}
Subtract 15 from 36 to get 21.
\frac{21}{25\times 6}
Express \frac{\frac{21}{25}}{6} as a single fraction.
\frac{21}{150}
Multiply 25 and 6 to get 150.
\frac{7}{50}
Reduce the fraction \frac{21}{150} to lowest terms by extracting and canceling out 3.
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y = 3x + 4
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\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}