Solve for x
x=\frac{7}{144}\approx 0.048611111
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\frac{1}{8\times 2}=\frac{9}{7}x
Express \frac{\frac{1}{8}}{2} as a single fraction.
\frac{1}{16}=\frac{9}{7}x
Multiply 8 and 2 to get 16.
\frac{9}{7}x=\frac{1}{16}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{16}\times \frac{7}{9}
Multiply both sides by \frac{7}{9}, the reciprocal of \frac{9}{7}.
x=\frac{1\times 7}{16\times 9}
Multiply \frac{1}{16} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.
x=\frac{7}{144}
Do the multiplications in the fraction \frac{1\times 7}{16\times 9}.
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