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\frac{8567\times 568}{567\times 568+567}
Divide 8567 by \frac{567\times 568+567}{568} by multiplying 8567 by the reciprocal of \frac{567\times 568+567}{568}.
\frac{4866056}{567\times 568+567}
Multiply 8567 and 568 to get 4866056.
\frac{4866056}{322056+567}
Multiply 567 and 568 to get 322056.
\frac{4866056}{322623}
Add 322056 and 567 to get 322623.