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7x=\frac{1214}{700}
Expand \frac{12.14}{7} by multiplying both numerator and the denominator by 100.
7x=\frac{607}{350}
Reduce the fraction \frac{1214}{700} to lowest terms by extracting and canceling out 2.
x=\frac{\frac{607}{350}}{7}
Divide both sides by 7.
x=\frac{607}{350\times 7}
Express \frac{\frac{607}{350}}{7} as a single fraction.
x=\frac{607}{2450}
Multiply 350 and 7 to get 2450.