Answer:
9/22
Explanation:
To simplify the expression 2 1/4 divided by 5 1/2, we need to convert the mixed numbers into improper fractions and then perform the division.
First, let's convert 2 1/4 into an improper fraction. To do this, we multiply the whole number (2) by the denominator (4) and add the numerator (1). This gives us (2 * 4) + 1 = 9. So, 2 1/4 can be written as the improper fraction 9/4.
Next, let's convert 5 1/2 into an improper fraction. Following the same process, we get (5 * 2) + 1 = 11. So, 5 1/2 can be written as the improper fraction 11/2.
Now, we can perform the division of the two fractions. Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of 11/2 is 2/11.
So, we have (9/4) * (2/11). To multiply fractions, we multiply the numerators together and the denominators together. This gives us (9 * 2) / (4 * 11) = 18/44.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 18 by 2 gives us 9, and dividing 44 by 2 gives us 22.
Therefore, the simplified form of 2 1/4 divided by 5 1/2 is 9/22 in mixed number format.
2 1/4 ➟ 9/4
5 1/2 ➟ 11/2
9/4 ÷ 11/2
9/4 • 2/11
18/44
9/22