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\frac{14\times 7+2}{7\times 100}
Express \frac{\frac{14\times 7+2}{7}}{100} as a single fraction.
\frac{98+2}{7\times 100}
Multiply 14 and 7 to get 98.
\frac{100}{7\times 100}
Add 98 and 2 to get 100.
\frac{100}{700}
Multiply 7 and 100 to get 700.
\frac{1}{7}
Reduce the fraction \frac{100}{700} to lowest terms by extracting and canceling out 100.