Let’s solve the given problem step-by-step:
Problem: Find the difference between two fractions:
1. [tex]\(\frac{7}{11} - \frac{2}{11}\)[/tex]
### Step-by-Step Solution:
1. Identify the Fractions:
- The first fraction is [tex]\(\frac{7}{11}\)[/tex]
- The second fraction is [tex]\(\frac{2}{11}\)[/tex]
2. Ensure Common Denominator:
Since both fractions have the same denominator (11), we can directly subtract the numerators.
3. Subtract the Numerators:
- Subtract the numerator of the second fraction from the numerator of the first fraction:
[tex]\[
7 - 2 = 5
\][/tex]
4. Write the Result as a Single Fraction:
- The result will have the same denominator (11), and the numerator from the subtraction step:
[tex]\[
\frac{7}{11} - \frac{2}{11} = \frac{5}{11}
\][/tex]
So, the difference between the fractions [tex]\(\frac{7}{11}\)[/tex] and [tex]\(\frac{2}{11}\)[/tex] is [tex]\(\frac{5}{11}\)[/tex].
### Convert Fraction to Decimal:
To express the result as a decimal, we perform the division:
[tex]\[
\frac{5}{11} \approx 0.45454545454545453
\][/tex]
Thus, [tex]\(\frac{7}{11} - \frac{2}{11} = \frac{5}{11} \approx 0.45454545454545453\)[/tex].
