A suit designer has 15-3/5 yards of fabric. each suit uses 2-1/8 yards of fabric.

(1) How many suits can be made?
(2) How much fabris is left over?

(1) seven suits can be made

(2) 29/85 yards of fabric remains

You divide 15 3/5 by 2 1/8.

78/5 / 17/8 = 78/5 * 8/17 = 624/85 = 7 17/50

So -- you have enough material for how many suits? How much fabric is left?

To determine the number of suits that can be made and the amount of fabric left over, we can follow these steps:

Step 1: Convert the given measurements into fractions.
Given:
Total fabric: 15-3/5 yards
Fabric per suit: 2-1/8 yards

Converting the mixed numbers to fractions:
Total fabric: 15-3/5 = (5 x 15 + 3)/5 = 78/5 yards
Fabric per suit: 2-1/8 = (8 x 2 + 1)/8 = 17/8 yards

Step 2: Divide the total fabric by the fabric needed per suit to find the number of suits that can be made.
To find the number of suits, divide the total fabric by the fabric needed per suit:
Number of suits = Total fabric / Fabric per suit
Number of suits = 78/5 / 17/8
Number of suits = 78/5 * 8/17
Number of suits = (78 * 8) / (5 * 17)
Number of suits = 624 / 85

Therefore, the number of suits that can be made is 624/85.

Step 3: Calculate the amount of fabric left over.
To find the amount of fabric left over, subtract the total fabric used for the suits from the total fabric available:
Amount of fabric left = Total fabric - (Number of suits * Fabric per suit)
Amount of fabric left = 78/5 - (624/85 * 17/8)

To simplify this calculation, it is often useful to convert all fractions into decimals for ease of computation.

Convert all fractions to decimals:
Total fabric = 78/5 = 15.6 yards
Fabric per suit = 17/8 ≈ 2.125 yards

Substituting the decimal values into the calculation:
Amount of fabric left = 15.6 - (624/85 * 2.125)
Amount of fabric left ≈ 15.6 - (14.618)

Therefore, the amount of fabric left over is approximately 1.982 yards.

To summarize:
(1) The number of suits that can be made is 624/85.
(2) The amount of fabric left over is approximately 1.982 yards.