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1.75+\frac{1.5+2}{3}\times 2
Multiply 0.5 and 3 to get 1.5.
1.75+\frac{3.5}{3}\times 2
Add 1.5 and 2 to get 3.5.
1.75+\frac{35}{30}\times 2
Expand \frac{3.5}{3} by multiplying both numerator and the denominator by 10.
1.75+\frac{7}{6}\times 2
Reduce the fraction \frac{35}{30} to lowest terms by extracting and canceling out 5.
1.75+\frac{7\times 2}{6}
Express \frac{7}{6}\times 2 as a single fraction.
1.75+\frac{14}{6}
Multiply 7 and 2 to get 14.
1.75+\frac{7}{3}
Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.
\frac{7}{4}+\frac{7}{3}
Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.
\frac{21}{12}+\frac{28}{12}
Least common multiple of 4 and 3 is 12. Convert \frac{7}{4} and \frac{7}{3} to fractions with denominator 12.
\frac{21+28}{12}
Since \frac{21}{12} and \frac{28}{12} have the same denominator, add them by adding their numerators.
\frac{49}{12}
Add 21 and 28 to get 49.