Answer:
2 1522/1529 ≈ 2.995422
Explanation:
Division of mixed numbers with different denominators is often best done by converting each to an improper fraction. Then, the division can be accomplished by multiplying the dividend by the reciprocal of the divisor.
20 9/11 = (20∙11 +9)/11 = 229/11
6 19/20 = (6∙20 +19)/20 = 139/20
The division problem then becomes ...
20 9/11 ÷ 6 19/20 = (229/11) × (20/139) = (229∙20)/(11∙139)
= 4580/1529 = 2 1522/1529
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Your calculator may be able to help you with this. Many modern calculators work nicely with fractions and mixed numbers.