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\frac{175}{100}x=14\times \frac{1}{2}
Multiply both sides by \frac{1}{2}.
\frac{7}{4}x=14\times \frac{1}{2}
Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.
\frac{7}{4}x=\frac{14}{2}
Multiply 14 and \frac{1}{2} to get \frac{14}{2}.
\frac{7}{4}x=7
Divide 14 by 2 to get 7.
x=7\times \frac{4}{7}
Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.
x=4
Cancel out 7 and 7.