Answer :

To subtract the fractions [tex]\(\frac{12}{25}\)[/tex] and [tex]\(\frac{2}{5}\)[/tex], follow these steps:

1. Find a common denominator:
The denominators in the two fractions are 25 and 5. A common denominator is needed to perform the subtraction. The number 25 can be used as the common denominator because it is a multiple of 5. Thus, convert [tex]\(\frac{2}{5}\)[/tex] to a fraction with a denominator of 25.

2. Convert [tex]\(\frac{2}{5}\)[/tex] to have a denominator of 25:
- Multiply both the numerator and the denominator of [tex]\(\frac{2}{5}\)[/tex] by 5:
[tex]\[
\frac{2 \times 5}{5 \times 5} = \frac{10}{25}
\][/tex]

3. Subtract the numerators:
Now you have two fractions with the same denominator:
[tex]\[
\frac{12}{25} - \frac{10}{25}
\][/tex]
Subtract the numerators:
[tex]\[
12 - 10 = 2
\][/tex]

4. Write the result:
The result of the subtraction is:
[tex]\[
\frac{2}{25}
\][/tex]

Thus, the answer to [tex]\(\frac{12}{25} - \frac{2}{5}\)[/tex] is [tex]\(\frac{2}{25}\)[/tex].