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4+\frac{1}{2}\times 3-\frac{4.7}{1}+\frac{12}{100}\times 3
Multiply 4 and 1 to get 4.
4+\frac{3}{2}-\frac{4.7}{1}+\frac{12}{100}\times 3
Multiply \frac{1}{2} and 3 to get \frac{3}{2}.
\frac{8}{2}+\frac{3}{2}-\frac{4.7}{1}+\frac{12}{100}\times 3
Convert 4 to fraction \frac{8}{2}.
\frac{8+3}{2}-\frac{4.7}{1}+\frac{12}{100}\times 3
Since \frac{8}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.
\frac{11}{2}-\frac{4.7}{1}+\frac{12}{100}\times 3
Add 8 and 3 to get 11.
\frac{11}{2}-4.7+\frac{12}{100}\times 3
Anything divided by one gives itself.
\frac{11}{2}-\frac{47}{10}+\frac{12}{100}\times 3
Convert decimal number 4.7 to fraction \frac{47}{10}.
\frac{55}{10}-\frac{47}{10}+\frac{12}{100}\times 3
Least common multiple of 2 and 10 is 10. Convert \frac{11}{2} and \frac{47}{10} to fractions with denominator 10.
\frac{55-47}{10}+\frac{12}{100}\times 3
Since \frac{55}{10} and \frac{47}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{8}{10}+\frac{12}{100}\times 3
Subtract 47 from 55 to get 8.
\frac{4}{5}+\frac{12}{100}\times 3
Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
\frac{4}{5}+\frac{3}{25}\times 3
Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.
\frac{4}{5}+\frac{3\times 3}{25}
Express \frac{3}{25}\times 3 as a single fraction.
\frac{4}{5}+\frac{9}{25}
Multiply 3 and 3 to get 9.
\frac{20}{25}+\frac{9}{25}
Least common multiple of 5 and 25 is 25. Convert \frac{4}{5} and \frac{9}{25} to fractions with denominator 25.
\frac{20+9}{25}
Since \frac{20}{25} and \frac{9}{25} have the same denominator, add them by adding their numerators.
\frac{29}{25}
Add 20 and 9 to get 29.