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\frac{1}{3}+\frac{9}{8}\times \left(\frac{15}{3}\right)-\frac{26}{10}
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.
\frac{1}{3}+\frac{9}{8}\times 5-\frac{26}{10}
Divide 15 by 3 to get 5.
\frac{1}{3}+\frac{9\times 5}{8}-\frac{26}{10}
Express \frac{9}{8}\times 5 as a single fraction.
\frac{1}{3}+\frac{45}{8}-\frac{26}{10}
Multiply 9 and 5 to get 45.
\frac{8}{24}+\frac{135}{24}-\frac{26}{10}
Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{45}{8} to fractions with denominator 24.
\frac{8+135}{24}-\frac{26}{10}
Since \frac{8}{24} and \frac{135}{24} have the same denominator, add them by adding their numerators.
\frac{143}{24}-\frac{26}{10}
Add 8 and 135 to get 143.
\frac{143}{24}-\frac{13}{5}
Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.
\frac{715}{120}-\frac{312}{120}
Least common multiple of 24 and 5 is 120. Convert \frac{143}{24} and \frac{13}{5} to fractions with denominator 120.
\frac{715-312}{120}
Since \frac{715}{120} and \frac{312}{120} have the same denominator, subtract them by subtracting their numerators.
\frac{403}{120}
Subtract 312 from 715 to get 403.