What is the result of dividing 9 by 1 1/4?

To find the result of dividing 9 by 1 1/4, it is first important to convert the mixed number into an improper fraction. The mixed number 1 1/4 can be converted as follows:

1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4.

Next, we need to perform the division of 9 by 5/4. Dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore:

9 ÷ (5/4) = 9 × (4/5).

To continue, we can express 9 as a fraction:

9 = 9/1.

Now, we can multiply the two fractions:

(9/1) × (4/5) = (9 × 4) / (1 × 5) = 36/5.

Next, we convert the improper fraction 36/5 into a mixed number. Dividing 36 by 5 gives us 7 with a remainder of 1, so we can express this as:

36/5 = 7 1/5.

This means that the result of dividing 9 by 1 1/4