How do i show work for this math question. A puppet requires 3/4 yard of material. How many puppets can be made from 9 yards of material?

9 / (3/4) = (9/1) * (4/3) = 36/3 = ?

(3/4) yard * number of yards = number of puppets

(3/4) * 9 = n

n = 27/4 = 6 3/4

since it is not helpful to make 3/4 of a puppet, 6 is all you will get.

(3/4) yard * number of puppets = yards

(3/4) n = 9

n = 36/3 = 12

To show the work for this math question, we can use a simple calculation.

Given:
- Each puppet requires 3/4 yard of material.
- We have 9 yards of material.

To determine how many puppets can be made, we need to divide the total amount of material by the amount needed for each puppet.

So, the calculation would be:

9 yards of material ÷ 3/4 yards per puppet

To divide by a fraction, we can multiply by its reciprocal. Therefore, we can rewrite the division as a multiplication:

9 yards of material × (4/3 yards per puppet)

Now, we can simplify the expression by canceling out common factors:

(9 × 4) yards ÷ (1 × 3) per puppet

36 yards ÷ 3 per puppet

Finally, we can perform the division to find the answer:

36 yards ÷ 3 = 12 puppets

Therefore, from 9 yards of material, you can make 12 puppets.