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45\times \frac{1}{2.53}=x
Multiply both sides of the equation by 45.
45\times \frac{100}{253}=x
Expand \frac{1}{2.53} by multiplying both numerator and the denominator by 100.
\frac{45\times 100}{253}=x
Express 45\times \frac{100}{253} as a single fraction.
\frac{4500}{253}=x
Multiply 45 and 100 to get 4500.
x=\frac{4500}{253}
Swap sides so that all variable terms are on the left hand side.