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10x=6+\frac{1}{16}
Add \frac{1}{16} to both sides.
10x=\frac{96}{16}+\frac{1}{16}
Convert 6 to fraction \frac{96}{16}.
10x=\frac{96+1}{16}
Since \frac{96}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.
10x=\frac{97}{16}
Add 96 and 1 to get 97.
x=\frac{\frac{97}{16}}{10}
Divide both sides by 10.
x=\frac{97}{16\times 10}
Express \frac{\frac{97}{16}}{10} as a single fraction.
x=\frac{97}{160}
Multiply 16 and 10 to get 160.