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10\times \frac{1}{4}+150\times \frac{25}{100}
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{10}{4}+150\times \frac{25}{100}
Multiply 10 and \frac{1}{4} to get \frac{10}{4}.
\frac{5}{2}+150\times \frac{25}{100}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.
\frac{5}{2}+150\times \frac{1}{4}
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{5}{2}+\frac{150}{4}
Multiply 150 and \frac{1}{4} to get \frac{150}{4}.
\frac{5}{2}+\frac{75}{2}
Reduce the fraction \frac{150}{4} to lowest terms by extracting and canceling out 2.
\frac{5+75}{2}
Since \frac{5}{2} and \frac{75}{2} have the same denominator, add them by adding their numerators.
\frac{80}{2}
Add 5 and 75 to get 80.
40
Divide 80 by 2 to get 40.