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x\times \frac{2}{1.5}=0.25
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\times \frac{20}{15}=0.25
Expand \frac{2}{1.5} by multiplying both numerator and the denominator by 10.
x\times \frac{4}{3}=0.25
Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.
x=0.25\times \frac{3}{4}
Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.
x=\frac{1}{4}\times \frac{3}{4}
Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
x=\frac{1\times 3}{4\times 4}
Multiply \frac{1}{4} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
x=\frac{3}{16}
Do the multiplications in the fraction \frac{1\times 3}{4\times 4}.