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2.4\left(1+\frac{1}{4}\right)
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
2.4\left(\frac{4}{4}+\frac{1}{4}\right)
Convert 1 to fraction \frac{4}{4}.
2.4\times \frac{4+1}{4}
Since \frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
2.4\times \frac{5}{4}
Add 4 and 1 to get 5.
\frac{12}{5}\times \frac{5}{4}
Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.
\frac{12\times 5}{5\times 4}
Multiply \frac{12}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{12}{4}
Cancel out 5 in both numerator and denominator.
3
Divide 12 by 4 to get 3.