College

Subtract:

[tex]\frac{12}{25} - \frac{2}{5}[/tex]

Remember to find common denominators first. Subtract, then simplify if possible.

Answer :

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

1. Get a Common Denominator:
- The least common multiple (LCM) of the denominators 25 and 5 is 25. This means 25 will be the common denominator.

2. Convert Each Fraction:
- The fraction [tex]\(\frac{12}{25}\)[/tex] already has the denominator 25, so it remains [tex]\(\frac{12}{25}\)[/tex].
- To convert [tex]\(\frac{2}{5}\)[/tex] to a fraction with the denominator 25, you need to multiply both the numerator and the denominator by 5:
[tex]\[
\frac{2}{5} \times \frac{5}{5} = \frac{10}{25}
\][/tex]

3. Subtract the Fractions:
- Now that both fractions have a common denominator, subtract the numerators and place the result over the common denominator:
[tex]\[
\frac{12}{25} - \frac{10}{25} = \frac{12 - 10}{25} = \frac{2}{25}
\][/tex]

4. Simplify the Result:
- The result [tex]\(\frac{2}{25}\)[/tex] is already in its simplest form.

So, [tex]\(\frac{12}{25} - \frac{2}{5} = \frac{2}{25}\)[/tex].