Answer:

Given, the decimal number 0.38 needs to be converted into a fraction in the form of p/q.

To convert a decimal into a fraction, we follow the steps below:

1. Count the number of decimal places in the given decimal number. In this case, the decimal number is 0.38, which has two decimal places.

2. Write the decimal number as the numerator of the fraction, and write 1 followed by the same number of zeroes as the denominator. In this case, the denominator will be 100, as there are two decimal places.

3. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).

Let's apply these steps to the given decimal number:

1. Number of decimal places = 2
2. Numerator = 38, Denominator = 100
3. GCF of 38 and 100 = 2
Dividing both numerator and denominator by 2, we get:

numerator = 19
denominator = 50

Therefore, the fraction form of 0.38 is 19/50.

To find the value of (m n), we need to write the fraction in the form of p/q, where both p and q are two-digit numbers.

1. Multiply both the numerator and denominator of 19/50 by 100.

numerator = 19 x 100 = 190
denominator = 50 x 100 = 5000

2. Simplify the fraction by dividing both numerator and denominator by their GCF, which is 10.

numerator = 19
denominator = 500

Therefore, the fraction 19/50 can be written as 38/100 or 0.38 in decimal form.

Hence, the value of (m n) is (38 100).

0.38 in p/q form is 38/100.
m+n =38+100
=138