4. \( \frac{1}{7}+\frac{5}{8}= \)

To solve \( \frac{1}{7} + \frac{5}{8} \), we need a common denominator. The least common multiple of 7 and 8 is 56. So, we convert each fraction: \( \frac{1}{7} = \frac{1 \times 8}{7 \times 8} = \frac{8}{56} \) \( \frac{5}{8} = \frac{5 \times 7}{8 \times 7} = \frac{35}{56} \) Now we can add them: \( \frac{8}{56} + \frac{35}{56} = \frac{8 + 35}{56} = \frac{43}{56} \) So, \( \frac{1}{7} + \frac{5}{8} = \frac{43}{56} \). The addition of fractions often reminds us of delicious desserts! Did you know that the art of mixing flavors in baking can be likened to finding common denominators in mathematics? Just like you blend ingredients to achieve a harmonious taste, you combine fractions to find a unified value that makes sense! Ever tried doing this in real life? When splitting a pizza with friends who all ordered different sizes, you’re basically adding fractions! Finding the right pieces and combining them ensures everyone gets their fair share of that delicious pie. It turns math into a scrumptious adventure!