To find out how many mornings Jessica can drink orange juice, we'll break down the problem step by step:
1. Understanding the total amount of orange juice:
Jessica starts with a total of [tex]\(1 \frac{4}{5}\)[/tex] quarts of orange juice. This is a mixed number, which we can convert into an improper fraction for easier calculation.
[tex]\[
1 \frac{4}{5} = 1 + \frac{4}{5}
\][/tex]
Converting the whole number to a fraction:
[tex]\[
1 = \frac{5}{5}
\][/tex]
Adding the fractions together:
[tex]\[
\frac{5}{5} + \frac{4}{5} = \frac{9}{5}
\][/tex]
So, the total amount of orange juice Jessica has is [tex]\(\frac{9}{5}\)[/tex] quarts.
2. Orange juice consumption per morning:
Every morning, Jessica drinks [tex]\(\frac{1}{5}\)[/tex] of a quart of orange juice.
3. Calculating the number of mornings:
To determine how many mornings she can have orange juice, we need to divide the total amount of orange juice by the amount she drinks each morning.
[tex]\[
\text{Number of mornings} = \frac{\text{Total orange juice}}{\text{Orange juice per morning}} = \frac{\frac{9}{5}}{\frac{1}{5}}
\][/tex]
Dividing fractions can be done by multiplying by the reciprocal:
[tex]\[
\frac{\frac{9}{5}}{\frac{1}{5}} = \frac{9}{5} \times \frac{5}{1} = \frac{9 \times 5}{5 \times 1} = \frac{45}{5} = 9
\][/tex]
Thus, Jessica can have orange juice for [tex]\(9\)[/tex] mornings.
