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\frac{3}{5}b=50.4
Combine \frac{1}{5}b and 0.4b to get \frac{3}{5}b.
b=50.4\times \frac{5}{3}
Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.
b=\frac{252}{5}\times \frac{5}{3}
Convert decimal number 50.4 to fraction \frac{504}{10}. Reduce the fraction \frac{504}{10} to lowest terms by extracting and canceling out 2.
b=\frac{252\times 5}{5\times 3}
Multiply \frac{252}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
b=\frac{252}{3}
Cancel out 5 in both numerator and denominator.
b=84
Divide 252 by 3 to get 84.