To find out how many liters of smoothies were sold, follow these steps:
1. Convert the mixed fractions to improper fractions for easier calculation:
- Initial amount of smoothies: [tex]\( 12 \frac{1}{2} \)[/tex]
- Convert [tex]\( 12 \frac{1}{2} \)[/tex] to an improper fraction. An improper fraction combines the whole number with the fractional part:
[tex]\[
12 \frac{1}{2} = 12 + \frac{1}{2} = \frac{24}{2} + \frac{1}{2} = \frac{25}{2}
\][/tex]
- Remaining amount of smoothies: [tex]\( 2 \frac{5}{8} \)[/tex]
- Convert [tex]\( 2 \frac{5}{8} \)[/tex] to an improper fraction:
[tex]\[
2 \frac{5}{8} = 2 + \frac{5}{8} = \frac{16}{8} + \frac{5}{8} = \frac{21}{8}
\][/tex]
2. Convert these improper fractions to decimal form for straightforward subtraction:
- Initial smoothies in decimal:
[tex]\[
\frac{25}{2} = 12.5
\][/tex]
- Remaining smoothies in decimal:
[tex]\[
\frac{21}{8} = 2.625
\][/tex]
3. Calculate the amount of smoothies sold:
- Subtract the remaining amount from the initial amount:
[tex]\[
12.5 - 2.625 = 9.875
\][/tex]
4. Conclusion:
Therefore, the number of liters of smoothies that were sold is:
[tex]\[
9.875 \, \text{liters}
\][/tex]
