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Carrie sprinted 23\frac{2}{3} of a lap and then took a break by jogging 16\frac{1}{6} of a lap. How much farther did Carrie sprint than jog?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline____\_\_\_\_ laps

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Add and subtract rational numbers: word problemsright chevron icon

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Q. Carrie sprinted 23\frac{2}{3} of a lap and then took a break by jogging 16\frac{1}{6} of a lap. How much farther did Carrie sprint than jog?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline____\_\_\_\_ laps
  1. Identify amounts sprinted and jogged: Step 11: Identify the amounts sprinted and jogged by Carrie.\newlineCarrie sprinted 23\frac{2}{3} of a lap and jogged 16\frac{1}{6} of a lap.
  2. Subtract fractions to find difference: Step 22: Subtract the fraction of the lap jogged from the fraction of the lap sprinted to find out how much farther she sprinted. 23−16=?\frac{2}{3} - \frac{1}{6} = ?
  3. Find common denominator: Step 33: Find a common denominator for the fractions.\newlineThe common denominator for 33 and 66 is 66. Convert 23\frac{2}{3} to 46\frac{4}{6}.
  4. Perform subtraction with common denominator: Step 44: Perform the subtraction using the common denominator.\newline46−16=36\frac{4}{6} - \frac{1}{6} = \frac{3}{6}
  5. Simplify the result: Step 55: Simplify the result. 36=12\frac{3}{6} = \frac{1}{2}

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