8) 3 1/2 ÷ 2 1/4

*
1 point
1 5/9
7 7/8
1 1/8
7 1/9

1 answer

To solve the division problem, we need to convert the mixed numbers to improper fractions.

3 1/2 is equal to (3 * 2 + 1) / 2 = 7/2
2 1/4 is equal to (2 * 4 + 1) / 4 = 9/4

Now, we can divide 7/2 by 9/4.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

(7/2) / (9/4) = (7/2) * (4/9)

Now, we can multiply the numerator and denominator:

(7 * 4) / (2 * 9) = 28/18

Next, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2.

28/18 = (2 * 14) / (2 * 9) = 14/9

The final answer is 1 5/9.

So the answer is 1 5/9.