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30.8=\frac{2\times 22}{7}x
Express 2\times \frac{22}{7} as a single fraction.
30.8=\frac{44}{7}x
Multiply 2 and 22 to get 44.
\frac{44}{7}x=30.8
Swap sides so that all variable terms are on the left hand side.
x=30.8\times \frac{7}{44}
Multiply both sides by \frac{7}{44}, the reciprocal of \frac{44}{7}.
x=\frac{154}{5}\times \frac{7}{44}
Convert decimal number 30.8 to fraction \frac{308}{10}. Reduce the fraction \frac{308}{10} to lowest terms by extracting and canceling out 2.
x=\frac{154\times 7}{5\times 44}
Multiply \frac{154}{5} times \frac{7}{44} by multiplying numerator times numerator and denominator times denominator.
x=\frac{1078}{220}
Do the multiplications in the fraction \frac{154\times 7}{5\times 44}.
x=\frac{49}{10}
Reduce the fraction \frac{1078}{220} to lowest terms by extracting and canceling out 22.