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\frac{25}{6}\left(25+1\right)\left(50+1\right)
Multiply \frac{1}{6} and 25 to get \frac{25}{6}.
\frac{25}{6}\times 26\left(50+1\right)
Add 25 and 1 to get 26.
\frac{25\times 26}{6}\left(50+1\right)
Express \frac{25}{6}\times 26 as a single fraction.
\frac{650}{6}\left(50+1\right)
Multiply 25 and 26 to get 650.
\frac{325}{3}\left(50+1\right)
Reduce the fraction \frac{650}{6} to lowest terms by extracting and canceling out 2.
\frac{325}{3}\times 51
Add 50 and 1 to get 51.
\frac{325\times 51}{3}
Express \frac{325}{3}\times 51 as a single fraction.
\frac{16575}{3}
Multiply 325 and 51 to get 16575.
5525
Divide 16575 by 3 to get 5525.