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x=\frac{12}{25}\times \frac{24}{5}
Multiply both sides by \frac{24}{5}, the reciprocal of \frac{5}{24}.
x=\frac{12\times 24}{25\times 5}
Multiply \frac{12}{25} times \frac{24}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{288}{125}
Do the multiplications in the fraction \frac{12\times 24}{25\times 5}.