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\frac{1}{2}x\times 10.5=378
Multiply both sides of the equation by 2.
\frac{1}{2}x\times \frac{21}{2}=378
Convert decimal number 10.5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.
\frac{1\times 21}{2\times 2}x=378
Multiply \frac{1}{2} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{21}{4}x=378
Do the multiplications in the fraction \frac{1\times 21}{2\times 2}.
x=378\times \frac{4}{21}
Multiply both sides by \frac{4}{21}, the reciprocal of \frac{21}{4}.
x=\frac{378\times 4}{21}
Express 378\times \frac{4}{21} as a single fraction.
x=\frac{1512}{21}
Multiply 378 and 4 to get 1512.
x=72
Divide 1512 by 21 to get 72.