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\frac{5}{4}\times 2.5+\frac{\frac{5}{4}}{10}
Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.
\frac{5}{4}\times \frac{5}{2}+\frac{\frac{5}{4}}{10}
Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.
\frac{5\times 5}{4\times 2}+\frac{\frac{5}{4}}{10}
Multiply \frac{5}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{25}{8}+\frac{\frac{5}{4}}{10}
Do the multiplications in the fraction \frac{5\times 5}{4\times 2}.
\frac{25}{8}+\frac{5}{4\times 10}
Express \frac{\frac{5}{4}}{10} as a single fraction.
\frac{25}{8}+\frac{5}{40}
Multiply 4 and 10 to get 40.
\frac{25}{8}+\frac{1}{8}
Reduce the fraction \frac{5}{40} to lowest terms by extracting and canceling out 5.
\frac{25+1}{8}
Since \frac{25}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.
\frac{26}{8}
Add 25 and 1 to get 26.
\frac{13}{4}
Reduce the fraction \frac{26}{8} to lowest terms by extracting and canceling out 2.