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Bill added 2252\frac{2}{5} cups of walnuts to a batch of trail mix. Later, he added 1451\frac{4}{5} cups of almonds. How many cups of nuts did Bill put in the trail mix in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ cups

Full solution

Q. Bill added 2252\frac{2}{5} cups of walnuts to a batch of trail mix. Later, he added 1451\frac{4}{5} cups of almonds. How many cups of nuts did Bill put in the trail mix in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ cups
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier addition.\newline225=(5×2+2)/5=1252 \frac{2}{5} = (5\times2 + 2)/5 = \frac{12}{5}\newline145=(5×1+4)/5=951 \frac{4}{5} = (5\times1 + 4)/5 = \frac{9}{5}
  2. Add Fractions: Add the fractions.\newline125+95=215\frac{12}{5} + \frac{9}{5} = \frac{21}{5}
  3. Convert Back to Mixed Number: Convert the improper fraction back to a mixed number. 215=415\frac{21}{5} = 4 \frac{1}{5}