2 1/4 ÷ 3/5 +1 1/2

1 answer

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.