Javier jogged 6 1/2 laps in P.E. class and 2/5 of a lap during track practice. How many laps did Javier jog in all?Write your answer as a fraction or as a whole or mixed number.

First, we need to convert the mixed number 6 1/2 to an improper fraction.

A mixed number consists of a whole number and a proper fraction. To convert it to an improper fraction, we multiply the whole number by the denominator of the fraction and then add the numerator.

For 6 1/2, the whole number is 6 and the fraction is 1/2. So, we multiply 6 by 2 (the denominator) and then add 1 (the numerator).

6 * 2 + 1 = 12 + 1 = 13

So, 6 1/2 as an improper fraction is 13/2.

Next, we add this to the fraction 2/5.

However, before we can add fractions, they must have the same denominator. The least common denominator (LCD) of 2 and 5 is 10.

To convert 13/2 to a fraction with a denominator of 10, we multiply both the numerator and the denominator by 5.

13 * 5 = 65 2 * 5 = 10

So, 13/2 is equivalent to 65/10.

To convert 2/5 to a fraction with a denominator of 10, we multiply both the numerator and the denominator by 2.

2 * 2 = 4 5 * 2 = 10

So, 2/5 is equivalent to 4/10.

Now, we can add the fractions:

65/10 + 4/10 = 69/10

69/10 is an improper fraction. To convert it back to a mixed number, we divide the numerator by the denominator.

69 ÷ 10 = 6 remainder 9

So, 69/10 as a mixed number is 6 9/10.

Therefore, Javier jogged 6 9/10 laps in all.