To solve the subtraction of the two fractions [tex]\(\frac{21}{5} - \frac{12}{5}\)[/tex], follow these steps:
1. Understand the Problem: We have two fractions with the same denominator: [tex]\(\frac{21}{5}\)[/tex] and [tex]\(\frac{12}{5}\)[/tex]. Since the denominators are the same, we can subtract the numerators directly.
2. Subtract the Numerators:
[tex]\[
21 - 12 = 9
\][/tex]
3. Keep the Denominator the Same: The common denominator remains 5.
4. Form the Resulting Fraction:
[tex]\[
\frac{21}{5} - \frac{12}{5} = \frac{9}{5}
\][/tex]
5. Convert the Fraction to a Decimal (if necessary):
- Divide the numerator by the denominator to convert [tex]\(\frac{9}{5}\)[/tex] into a decimal.
[tex]\[
\frac{9}{5} = 1.8
\][/tex]
6. Conclusion: The result of [tex]\(\frac{21}{5} - \frac{12}{5}\)[/tex] is [tex]\(\frac{9}{5}\)[/tex], which is equivalent to the decimal 1.8.
Therefore, [tex]\(\frac{21}{5} - \frac{12}{5} = 1.8\)[/tex].
