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\frac{4\times 0.1}{1.4\times 0.4}
Divide 1 by \frac{1.4\times 0.4}{4\times 0.1} by multiplying 1 by the reciprocal of \frac{1.4\times 0.4}{4\times 0.1}.
\frac{0.4}{1.4\times 0.4}
Multiply 4 and 0.1 to get 0.4.
\frac{0.4}{0.56}
Multiply 1.4 and 0.4 to get 0.56.
\frac{40}{56}
Expand \frac{0.4}{0.56} by multiplying both numerator and the denominator by 100.
\frac{5}{7}
Reduce the fraction \frac{40}{56} to lowest terms by extracting and canceling out 8.