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\frac{3}{4}x=0.8-0.25
Subtract 0.25 from both sides.
\frac{3}{4}x=0.55
Subtract 0.25 from 0.8 to get 0.55.
x=0.55\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{11}{20}\times \frac{4}{3}
Convert decimal number 0.55 to fraction \frac{55}{100}. Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.
x=\frac{11\times 4}{20\times 3}
Multiply \frac{11}{20} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{44}{60}
Do the multiplications in the fraction \frac{11\times 4}{20\times 3}.
x=\frac{11}{15}
Reduce the fraction \frac{44}{60} to lowest terms by extracting and canceling out 4.