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1+x=1.18\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
1+x=\frac{59}{50}\times \frac{4}{3}
Convert decimal number 1.18 to fraction \frac{118}{100}. Reduce the fraction \frac{118}{100} to lowest terms by extracting and canceling out 2.
1+x=\frac{59\times 4}{50\times 3}
Multiply \frac{59}{50} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
1+x=\frac{236}{150}
Do the multiplications in the fraction \frac{59\times 4}{50\times 3}.
1+x=\frac{118}{75}
Reduce the fraction \frac{236}{150} to lowest terms by extracting and canceling out 2.
x=\frac{118}{75}-1
Subtract 1 from both sides.
x=\frac{118}{75}-\frac{75}{75}
Convert 1 to fraction \frac{75}{75}.
x=\frac{118-75}{75}
Since \frac{118}{75} and \frac{75}{75} have the same denominator, subtract them by subtracting their numerators.
x=\frac{43}{75}
Subtract 75 from 118 to get 43.