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1+2x=\frac{1216}{416}
Expand \frac{121.6}{41.6} by multiplying both numerator and the denominator by 10.
1+2x=\frac{38}{13}
Reduce the fraction \frac{1216}{416} to lowest terms by extracting and canceling out 32.
2x=\frac{38}{13}-1
Subtract 1 from both sides.
2x=\frac{38}{13}-\frac{13}{13}
Convert 1 to fraction \frac{13}{13}.
2x=\frac{38-13}{13}
Since \frac{38}{13} and \frac{13}{13} have the same denominator, subtract them by subtracting their numerators.
2x=\frac{25}{13}
Subtract 13 from 38 to get 25.
x=\frac{\frac{25}{13}}{2}
Divide both sides by 2.
x=\frac{25}{13\times 2}
Express \frac{\frac{25}{13}}{2} as a single fraction.
x=\frac{25}{26}
Multiply 13 and 2 to get 26.