To solve the expression [tex]\( \frac{35}{8} + 1 \frac{3}{7} \)[/tex] step-by-step, let's break it down into manageable parts.
First, let's simplify each part separately:
1. Calculate [tex]\( \frac{35}{8} \)[/tex]:
[tex]\[
\frac{35}{8} = 4.375
\][/tex]
This comes from dividing 35 by 8.
2. Convert the mixed number [tex]\( 1 \frac{3}{7} \)[/tex] into an improper fraction:
- The whole number part is [tex]\( 1 \)[/tex].
- The fractional part is [tex]\( \frac{3}{7} \)[/tex].
To convert the mixed number to an improper fraction:
[tex]\[
1 \frac{3}{7} = 1 + \frac{3}{7} = \frac{7}{7} + \frac{3}{7} = \frac{10}{7}
\][/tex]
Converting the improper fraction [tex]\( \frac{10}{7} \)[/tex] to a decimal:
[tex]\[
\frac{10}{7} \approx 1.4285714285714286
\][/tex]
3. Add the two results together:
[tex]\[
4.375 + 1.4285714285714286 \approx 5.803571428571429
\][/tex]
So, the final result for the given expression [tex]\( \frac{35}{8} + 1 \frac{3}{7} \)[/tex] is approximately [tex]\( 5.803571428571429 \)[/tex].
