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\frac{x}{0.24}=\frac{105}{84}
Expand \frac{1.05}{0.84} by multiplying both numerator and the denominator by 100.
\frac{x}{0.24}=\frac{5}{4}
Reduce the fraction \frac{105}{84} to lowest terms by extracting and canceling out 21.
x=\frac{5}{4}\times 0.24
Multiply both sides by 0.24.
x=\frac{5}{4}\times \frac{6}{25}
Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.
x=\frac{5\times 6}{4\times 25}
Multiply \frac{5}{4} times \frac{6}{25} by multiplying numerator times numerator and denominator times denominator.
x=\frac{30}{100}
Do the multiplications in the fraction \frac{5\times 6}{4\times 25}.
x=\frac{3}{10}
Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.