Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Yesterday, The Sweet Slice Cafe sold 99109\frac{9}{10} carafes of caffeinated coffee and 23102\frac{3}{10} carafes of decaffeinated coffee. How many carafes of coffee did they sell in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline____\_\_\_\_ carafes

Full solution

Q. Yesterday, The Sweet Slice Cafe sold 99109\frac{9}{10} carafes of caffeinated coffee and 23102\frac{3}{10} carafes of decaffeinated coffee. How many carafes of coffee did they sell in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline____\_\_\_\_ carafes
  1. Identify amounts sold: Identify the amounts sold.\newlineCaffeinated coffee sold: 99109\frac{9}{10} carafes.\newlineDecaffeinated coffee sold: 23102\frac{3}{10} carafes.
  2. Convert to improper fractions: Convert mixed numbers to improper fractions for easier addition.\newlineCaffeinated coffee: 9910=99109 \frac{9}{10} = \frac{99}{10}.\newlineDecaffeinated coffee: 2310=23102 \frac{3}{10} = \frac{23}{10}.
  3. Add fractions: Add the fractions.\newline9910+2310=12210\frac{99}{10} + \frac{23}{10} = \frac{122}{10}.
  4. Convert back to mixed number: Convert the improper fraction back to a mixed number.\newline12210=12210\frac{122}{10} = 12 \frac{2}{10}, which simplifies to 121512 \frac{1}{5}.