What would be an expression that can be used to show how many lengths of 5/8 inch lengths of string can be cut from a 15 inch length of string

15/(5/8) = ?

I need an algrbra expression

x = 15/(5/8)

To find out how many lengths of 5/8 inch can be cut from a 15-inch string, you need to divide the total length by the length of each individual piece.

Since the length of each piece is 5/8 inch, we can write it as a fraction: 5/8.

To divide the total length of 15 inches by 5/8, we can use the division rule: dividing by a fraction is equivalent to multiplying by its reciprocal.

The reciprocal of 5/8 is obtained by flipping the fraction, which gives us 8/5.

So, to find the number of lengths of 5/8 inch that can be cut from a 15-inch string, we multiply 15 by 8/5:

15 * (8/5) = 120/5 = 24.

Therefore, you can cut 24 lengths of 5/8 inch from a 15-inch string.