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\frac{5}{2}=\frac{A}{2.4}
Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.
\frac{A}{2.4}=\frac{5}{2}
Swap sides so that all variable terms are on the left hand side.
A=\frac{5}{2}\times 2.4
Multiply both sides by 2.4.
A=\frac{5}{2}\times \frac{12}{5}
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.
A=\frac{5\times 12}{2\times 5}
Multiply \frac{5}{2} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.
A=\frac{12}{2}
Cancel out 5 in both numerator and denominator.
A=6
Divide 12 by 2 to get 6.