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\frac{0.00388}{0.97\times 0.004+0.02\times 0.97}=x
Multiply 0.97 and 0.004 to get 0.00388.
\frac{0.00388}{0.00388+0.02\times 0.97}=x
Multiply 0.97 and 0.004 to get 0.00388.
\frac{0.00388}{0.00388+0.0194}=x
Multiply 0.02 and 0.97 to get 0.0194.
\frac{0.00388}{0.02328}=x
Add 0.00388 and 0.0194 to get 0.02328.
\frac{388}{2328}=x
Expand \frac{0.00388}{0.02328} by multiplying both numerator and the denominator by 100000.
\frac{1}{6}=x
Reduce the fraction \frac{388}{2328} to lowest terms by extracting and canceling out 388.
x=\frac{1}{6}
Swap sides so that all variable terms are on the left hand side.