Final answer:
To divide mixed numbers, convert them to improper fractions, then multiply the first fraction by the reciprocal of the second fraction. The resulting fraction is in lowest terms.
Step-by-step explanation:
To divide mixed numbers, we first need to convert them to improper fractions. The given expression can be rewritten as:
1 1/4 = (4*1 + 1)/4 = 5/4
1 2/5 = (5*1 + 2)/5 = 7/5
Now we can divide the two fractions by multiplying the first fraction by the reciprocal of the second fraction:
5/4 ÷ 7/5 = (5/4) * (5/7) = 25/28
The resulting fraction, 25/28, cannot be simplified further, so it is the answer in lowest terms.
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