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\frac{262\times 2+1}{2\times 100}
Express \frac{\frac{262\times 2+1}{2}}{100} as a single fraction.
\frac{524+1}{2\times 100}
Multiply 262 and 2 to get 524.
\frac{525}{2\times 100}
Add 524 and 1 to get 525.
\frac{525}{200}
Multiply 2 and 100 to get 200.
\frac{21}{8}
Reduce the fraction \frac{525}{200} to lowest terms by extracting and canceling out 25.