Question

2、rico and nita solved the same problem. rico got a correct answer of \\(\frac{6}{8}\\), and nita got \\(\frac{3}{4}\\). is nitas answer also correct? independent practice in 4 and 5, find the sum or difference. use fraction strips to help. 4. \\(\frac{1}{2}+\frac{2}{5}=\frac{\square}{\square}+\frac{\square}{\square}=\frac{\square}{\square}\\) 5.

Explanation:

Step1: Find common denominator

To add \(\frac{1}{2}\) and \(\frac{2}{5}\), find the least common denominator (LCD) of 2 and 5, which is 10.
Rewrite \(\frac{1}{2}\) with denominator 10: \(\frac{1\times5}{2\times5}=\frac{5}{10}\)
Rewrite \(\frac{2}{5}\) with denominator 10: \(\frac{2\times2}{5\times2}=\frac{4}{10}\)

Step2: Add the fractions

Now add the two fractions with the common denominator: \(\frac{5}{10}+\frac{4}{10}=\frac{5 + 4}{10}=\frac{9}{10}\)

Answer:

\(\frac{1}{2}+\frac{2}{5}=\frac{5}{10}+\frac{4}{10}=\frac{9}{10}\) (So the boxes are filled with 5, 10, 4, 10, 9, 10 respectively)