An athlete drank 3 1/2 bottles of sports drink in the first half of a match and another 4 4/5 bottles in the second half. How much did he drink in all? Write your answer as a fraction or as a whole or mixed number. _____ bottles

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier addition. 3 1/2 becomes 7/2 and 4 4/5 becomes 24/5. Add Improper Fractions: Add the two improper fractions. Find a common denominator, which is 10. Convert 7/2 to 35/10 and 24/5 to 48/10. Find Common Denominator: Add the fractions: 35/10 + 48/10 = 83/10. Convert Back to Mixed Number: Convert the improper fraction 83/10 back to a mixed number. 83/10 = 8 3/10.

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An athlete drank $3\frac{1}{2}$ bottles of sports drink in the first half of a match and another $4\frac{4}{5}$ bottles in the second half. How much did he drink in all? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ bottles

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Math Problems

Grade 8

Add and subtract rational numbers: word problems

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Q. An athlete drank

3\frac{1}{2}

bottles of sports drink in the first half of a match and another

4\frac{4}{5}

bottles in the second half. How much did he drink in all?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

bottles

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier addition. $3 \frac{1}{2}$ becomes $\frac{7}{2}$ and $4 \frac{4}{5}$ becomes $\frac{24}{5}$ .
Add Improper Fractions: Add the two improper fractions. Find a common denominator, which is $10$ . Convert $\frac{7}{2}$ to $\frac{35}{10}$ and $\frac{24}{5}$ to $\frac{48}{10}$ .
Find Common Denominator: Add the fractions: $\frac{35}{10} + \frac{48}{10} = \frac{83}{10}$ .
Convert Back to Mixed Number: Convert the improper fraction $\frac{83}{10}$ back to a mixed number. $\frac{83}{10} = 8 \frac{3}{10}.$