7. Tammi and Orlando each decomposed \( 1 \frac{3}{4} \). Tammi wrote \( \frac{2}{4}+\frac{2}{4}+\frac{3}{4} \). Orlando wrote \( \frac{4}{4}+\frac{3}{4} \). Who was correct? Explain. W.

Tammi's decomposition of \( 1 \frac{3}{4} \) as \( \frac{2}{4} + \frac{2}{4} + \frac{3}{4} \) is not correct because when you sum her fractions, you get \( \frac{2}{4} + \frac{2}{4} = \frac{4}{4} \) and then adding \( \frac{3}{4} \) gives you \( \frac{7}{4} \), which is actually \( 1 \frac{3}{4} \). However, she broke it down into 2 fractions of \( \frac{2}{4} \), which might lead to confusion. On the other hand, Orlando's decomposition of \( 1 \frac{3}{4} \) as \( \frac{4}{4} + \frac{3}{4} \) is correct. When you combine \( \frac{4}{4} + \frac{3}{4} \), it equals \( \frac{7}{4} \), which simplifies down to \( 1 \frac{3}{4} \). So, Orlando had the right idea!