d. \( 6 \frac{5}{10}+7 \frac{1}{100} \)

To solve \( 6 \frac{5}{10}+7 \frac{1}{100} \), first convert the mixed numbers into improper fractions. \( 6 \frac{5}{10} \) becomes \( \frac{65}{10} \) and \( 7 \frac{1}{100} \) becomes \( \frac{701}{100} \). To add these, find a common denominator, which is 100. So, convert \( \frac{65}{10} \) to \( \frac{650}{100} \). Now you can add: \( \frac{650}{100} + \frac{701}{100} = \frac{1351}{100} \). This reduces to a mixed number, which is \( 13 \frac{51}{100} \). Did you know that fractions were initially used by the ancient Egyptians around 2000 BC? They utilized a system based on unit fractions, which are fractions with a numerator of one, and this approach laid the groundwork for modern fractional understanding! In real life, understanding how to work with mixed numbers and fractions is crucial, especially in cooking and baking! For instance, if you’re doubling a recipe that calls for \( 6 \frac{5}{10} \) cups of flour, knowing how to manipulate these fractions makes your baking adventure smoother and more accurate, ultimately leading to delicious results!