Answer :
To simplify the numerical expression [tex]\(\frac{13}{15} + \frac{2}{15}\)[/tex], it's important to note that both fractions have the same denominator, which is 15. This allows you to simply add their numerators together while keeping the denominator the same.
Here's the step-by-step solution:
1. Identify the denominators: Both fractions, [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{2}{15}\)[/tex], have a common denominator of 15.
2. Add the numerators: Since the denominators are the same, you can add the numerators directly:
[tex]\[
13 + 2 = 15
\][/tex]
3. Write the sum over the common denominator: Place the sum of the numerators over the common denominator:
[tex]\[
\frac{15}{15}
\][/tex]
4. Simplify the fraction: [tex]\(\frac{15}{15}\)[/tex] can be simplified by recognizing that any number divided by itself is 1.
So, the simplified result of [tex]\(\frac{13}{15} + \frac{2}{15}\)[/tex] is 1.
Here's the step-by-step solution:
1. Identify the denominators: Both fractions, [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{2}{15}\)[/tex], have a common denominator of 15.
2. Add the numerators: Since the denominators are the same, you can add the numerators directly:
[tex]\[
13 + 2 = 15
\][/tex]
3. Write the sum over the common denominator: Place the sum of the numerators over the common denominator:
[tex]\[
\frac{15}{15}
\][/tex]
4. Simplify the fraction: [tex]\(\frac{15}{15}\)[/tex] can be simplified by recognizing that any number divided by itself is 1.
So, the simplified result of [tex]\(\frac{13}{15} + \frac{2}{15}\)[/tex] is 1.
