h. \( 1 \frac{3}{12}-\frac{2}{3}= \)

First, let's convert the mixed number \(1 \frac{3}{12}\) into an improper fraction. This gives us \( \frac{12}{12} + \frac{3}{12} = \frac{15}{12}\). Now, we need to subtract \( \frac{2}{3}\). To do this, we will convert \( \frac{2}{3}\) into a fraction with a denominator of 12, which means multiplying it by \(\frac{4}{4}\) to get \( \frac{8}{12}\). Now, we can perform the subtraction: \( \frac{15}{12} - \frac{8}{12} = \frac{7}{12}\). So, the answer is \(\frac{7}{12}\). Now you’ve got it, and math can really be fun! Over time, fractions were developed as a way to express parts of a whole—especially in trade and agriculture. With fractions, nobody had to guess how many apples they really had when they cut one in half! You can see how fractions were critical for early merchants. As for common mistakes, many people forget to convert mixed numbers to improper fractions before doing operations. It's like trying to bake a cake with whole eggs instead of whisking them first! So always remember to tweak those mixed numbers before you dive into any calculations. Get that mixing done right!