Answer :
Sure! Let's solve the problem step-by-step:
We need to solve and simplify the expression [tex]\(\frac{12}{25} - \frac{2}{25}\)[/tex].
1. Identifying the Denominator:
Both fractions have the same denominator: 25. This makes it easier because when subtracting fractions with the same denominator, you simply subtract the numerators.
2. Subtract the Numerators:
- Take the numerator of the first fraction, which is 12.
- Subtract the numerator of the second fraction, which is 2.
- So, we have [tex]\(12 - 2 = 10\)[/tex].
3. Place the Result in a Fraction:
The result of the subtraction is [tex]\(\frac{10}{25}\)[/tex].
4. Simplifying the Fraction:
Next, we should simplify [tex]\(\frac{10}{25}\)[/tex] if possible.
- Find the greatest common divisor (GCD) of 10 and 25, which is 5.
- Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{10 \div 5}{25 \div 5} = \frac{2}{5}
\][/tex]
So, the simplified answer is [tex]\(\frac{2}{5}\)[/tex].
We need to solve and simplify the expression [tex]\(\frac{12}{25} - \frac{2}{25}\)[/tex].
1. Identifying the Denominator:
Both fractions have the same denominator: 25. This makes it easier because when subtracting fractions with the same denominator, you simply subtract the numerators.
2. Subtract the Numerators:
- Take the numerator of the first fraction, which is 12.
- Subtract the numerator of the second fraction, which is 2.
- So, we have [tex]\(12 - 2 = 10\)[/tex].
3. Place the Result in a Fraction:
The result of the subtraction is [tex]\(\frac{10}{25}\)[/tex].
4. Simplifying the Fraction:
Next, we should simplify [tex]\(\frac{10}{25}\)[/tex] if possible.
- Find the greatest common divisor (GCD) of 10 and 25, which is 5.
- Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{10 \div 5}{25 \div 5} = \frac{2}{5}
\][/tex]
So, the simplified answer is [tex]\(\frac{2}{5}\)[/tex].