Final answer:
The ratio of yellow to red paint used for making the orange shade is 6:1.
Step-by-step explanation:
To find the ratio of yellow to red paint used for making the orange shade, we can use the information given. La-a uses 1 1/2 ounces of yellow paint for every 1/4 ounces of red paint. To simplify this ratio, we can convert the mixed numbers into improper fractions and then find a common denominator. Converting 1 1/2 to an improper fraction gives us 3/2, and converting 1/4 to an improper fraction gives us 1/4. The common denominator is 4. Multiplying the numerators and denominators by the necessary factors, we get 6/4 for yellow and 1/4 for red. Therefore, the ratio of yellow to red paint used for making the orange shade is 6:1.