How many laps did Ariana jog in all?

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.

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.

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.

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.