To solve the expression [tex]\(\frac{17}{42} + 6\)[/tex], we need to follow these steps:
1. Identify the terms in the expression:
- The fraction [tex]\(\frac{17}{42}\)[/tex]
- The whole number [tex]\(6\)[/tex]
2. Convert the whole number to an equivalent fraction with the same denominator as the given fraction:
- Here, [tex]\(6\)[/tex] can be written as [tex]\(\frac{6 \times 42}{42} = \frac{252}{42}\)[/tex]
3. Add the two fractions:
- Since the denominators are the same, we can directly add the numerators:
[tex]\[
\frac{17}{42} + \frac{252}{42} = \frac{17 + 252}{42}
\][/tex]
4. Calculate the numerator sum:
- Add [tex]\(17\)[/tex] and [tex]\(252\)[/tex]:
[tex]\[
17 + 252 = 269
\][/tex]
- So, the new fraction is:
[tex]\[
\frac{269}{42}
\][/tex]
5. Convert the fraction to a decimal (if needed) for a simpler representation:
[tex]\[
\frac{269}{42} \approx 6.404761904761905
\][/tex]
Therefore, the sum [tex]\(\frac{17}{42} + 6\)[/tex] is approximately [tex]\(6.404761904761905\)[/tex].
