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22.5\times 4x=24\times 1.2
Multiply both sides of the equation by 3.
90x=24\times 1.2
Multiply 22.5 and 4 to get 90.
90x=28.8
Multiply 24 and 1.2 to get 28.8.
x=\frac{28.8}{90}
Divide both sides by 90.
x=\frac{288}{900}
Expand \frac{28.8}{90} by multiplying both numerator and the denominator by 10.
x=\frac{8}{25}
Reduce the fraction \frac{288}{900} to lowest terms by extracting and canceling out 36.