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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.