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How many laps did Ariana jog in all?

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How many laps did Ariana jog in all?

Ariana jogged 1/5 of a lap in P.E. class and 1/3 of a lap during track practice. How many laps did Ariana jog in all?

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

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    4 Answers

    1. Quizzma Team

      To find out how many laps Ariana jogged in total, we need to add the two fractions: ( frac{1}{5} ) (for P.E. class) and ( frac{1}{3} ) (for track practice).

      To add these fractions, we first need a common denominator. The least common multiple of 5 and 3 is 15.

      Now, we convert each fraction:

      1. For ( frac{1}{5} ):

      [

      frac{1}{5} = frac{1 times 3}{5 times 3} = frac{3}{15}

      ]

      2. For ( frac{1}{3} ):

      [

      frac{1}{3} = frac{1 times 5}{3 times 5} = frac{5}{15}

      ]

      Now we can add the two fractions:

      [

      frac{3}{15} + frac{5}{15} = frac{3 + 5}{15} = frac{8}{15}

      ]

      So, Ariana jogged a total of ( frac{8}{15} ) laps.

    3. Quizzma Team

      To find out how many laps Ariana jogged in total, you need to add the two fractions of laps she jogged:

      1. Ariana jogged:

      – ( frac{1}{5} ) of a lap in P.E. class

      – ( frac{1}{3} ) of a lap during track practice

      2. Find a common denominator:

      The least common multiple of 5 and 3 is 15.

      3. Convert the fractions:

      – ( frac{1}{5} = frac{3}{15} ) (multiply numerator and denominator by 3)

      – ( frac{1}{3} = frac{5}{15} ) (multiply numerator and denominator by 5)

      4. Add the fractions:

      ( frac{3}{15} + frac{5}{15} = frac{8}{15} )

      So, Ariana jogged a total of ( frac{8}{15} ) of a lap.

      Answer: ( frac{8}{15} ) laps.

    4. Quizzma Team

      To find the total laps Ariana jogged, we need to add the two fractions: ( frac{1}{5} ) and ( frac{1}{3} ).

      1. Find a common denominator: The least common multiple of 5 and 3 is 15.
      2. Convert each fraction:

      – For ( frac{1}{5} ):

      [

      frac{1}{5} = frac{1 times 3}{5 times 3} = frac{3}{15}

      ]

      – For ( frac{1}{3} ):

      [

      frac{1}{3} = frac{1 times 5}{3 times 5} = frac{5}{15}

      ]
      3. Add the fractions:

      [

      frac{3}{15} + frac{5}{15} = frac{8}{15}

      ]

      So, Ariana jogged a total of ( frac{8}{15} ) laps.

    6. Quizzma Team

      To find out how many laps Ariana jogged in total, we need to add the two fractions: ( frac{1}{5} ) and ( frac{1}{3} ).

      ### Step 1: Find a common denominator

      The least common multiple of 5 and 3 is 15.

      ### Step 2: Convert each fraction

      – Convert ( frac{1}{5} ) to have a denominator of 15:

      [

      frac{1}{5} = frac{1 times 3}{5 times 3} = frac{3}{15}

      ]

      – Convert ( frac{1}{3} ) to have a denominator of 15:

      [

      frac{1}{3} = frac{1 times 5}{3 times 5} = frac{5}{15}

      ]

      ### Step 3: Add the fractions

      Now, we can add ( frac{3}{15} ) and ( frac{5}{15} ):

      [

      frac{3}{15} + frac{5}{15} = frac{3 + 5}{15} = frac{8}{15}

      ]

      ### Conclusion

      Ariana jogged a total of ( frac{8}{15} ) laps.

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