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5-12+\frac{12\times 2}{3}-\frac{9}{2}\times 3+\frac{7}{100}\times 4\times 3
Multiply 3 and 4 to get 12.
-7+\frac{12\times 2}{3}-\frac{9}{2}\times 3+\frac{7}{100}\times 4\times 3
Subtract 12 from 5 to get -7.
-7+\frac{24}{3}-\frac{9}{2}\times 3+\frac{7}{100}\times 4\times 3
Multiply 12 and 2 to get 24.
-7+8-\frac{9}{2}\times 3+\frac{7}{100}\times 4\times 3
Divide 24 by 3 to get 8.
1-\frac{9}{2}\times 3+\frac{7}{100}\times 4\times 3
Add -7 and 8 to get 1.
1-\frac{9\times 3}{2}+\frac{7}{100}\times 4\times 3
Express \frac{9}{2}\times 3 as a single fraction.
1-\frac{27}{2}+\frac{7}{100}\times 4\times 3
Multiply 9 and 3 to get 27.
\frac{2}{2}-\frac{27}{2}+\frac{7}{100}\times 4\times 3
Convert 1 to fraction \frac{2}{2}.
\frac{2-27}{2}+\frac{7}{100}\times 4\times 3
Since \frac{2}{2} and \frac{27}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{25}{2}+\frac{7}{100}\times 4\times 3
Subtract 27 from 2 to get -25.
-\frac{25}{2}+\frac{7\times 4}{100}\times 3
Express \frac{7}{100}\times 4 as a single fraction.
-\frac{25}{2}+\frac{28}{100}\times 3
Multiply 7 and 4 to get 28.
-\frac{25}{2}+\frac{7}{25}\times 3
Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.
-\frac{25}{2}+\frac{7\times 3}{25}
Express \frac{7}{25}\times 3 as a single fraction.
-\frac{25}{2}+\frac{21}{25}
Multiply 7 and 3 to get 21.
-\frac{625}{50}+\frac{42}{50}
Least common multiple of 2 and 25 is 50. Convert -\frac{25}{2} and \frac{21}{25} to fractions with denominator 50.
\frac{-625+42}{50}
Since -\frac{625}{50} and \frac{42}{50} have the same denominator, add them by adding their numerators.
-\frac{583}{50}
Add -625 and 42 to get -583.