To solve this, we first need to convert the mixed numbers to improper fractions:
2 1/4 = 9/4
1 1/2 = 3/2
Now, we can rewrite the expression:
9/4 ÷ 3/5 + 3/2
To divide fractions, we multiply by the reciprocal of the second fraction:
9/4 ÷ 3/5 = 9/4 x 5/3 = 45/12
Next, we add the resulting fraction to 3/2:
45/12 + 3/2
To add fractions, we need a common denominator, which in this case is 12:
45/12 + 3/2 = 45/12 + 18/12 = 63/12
Now, we can simplify the resulting fraction:
63/12 = 21/4
Therefore, 2 1/4 ÷ 3/5 + 1 1/2 = 21/4.
2 1/4 ÷ 3/5 +1 1/2
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