Final answer:
To find out how much yarn Mrs. Davis used to make each hat, we divide the total amount of yarn used by the number of hats made. In this case, she used 2/5 of her yarn to make 8 hats, so each hat used 1/20 of her yarn.
Step-by-step explanation:
To find out what fraction of her yarn Mrs. Davis used to make each hat, we need to divide the total amount of yarn she used by the number of hats she made. Mrs. Davis used 2/5 of her yarn to make 8 hats, so the amount of yarn used for each hat is 2/5 divided by 8.
To divide a fraction by a whole number, we can rewrite the whole number as a fraction with a denominator of 1, and then multiply the fractions. So, 2/5 divided by 8 can be written as 2/5 multiplied by 1/8. Multiplying these fractions gives us 2/40, which simplifies to 1/20. Therefore, Mrs. Davis used 1/20 of her yarn to make each hat.