Question

determine if each expression is less than, equal to, or greater than 1. match each expression to the correct description.
less than 1 equal to 1 greater than 1
answer bank $\frac{4}{9}+\frac{2}{9}$ $\frac{4}{9}+\frac{5}{9}$ $\frac{4}{9}+\frac{7}{9}$

Explanation:

Step1: Calculate \(\frac{4}{9}+\frac{2}{9}\)

Since the denominators are the same, we add the numerators: \(\frac{4 + 2}{9}=\frac{6}{9}\). Simplify \(\frac{6}{9}=\frac{2}{3}\), and \(\frac{2}{3}<1\).

Step2: Calculate \(\frac{4}{9}+\frac{5}{9}\)

Add the numerators: \(\frac{4+5}{9}=\frac{9}{9} = 1\).

Step3: Calculate \(\frac{4}{9}+\frac{7}{9}\)

Add the numerators: \(\frac{4 + 7}{9}=\frac{11}{9}\). Since \(\frac{11}{9}=1\frac{2}{9}\), and \(1\frac{2}{9}>1\).

Answer:

• Less than 1: \(\frac{4}{9}+\frac{2}{9}\)
• Equal to 1: \(\frac{4}{9}+\frac{5}{9}\)
• Greater than 1: \(\frac{4}{9}+\frac{7}{9}\)