which sign makes the statement true? 1 1/9 + 6 4/9? 9 3/9 > < =

Explanation:

Step1: Add the mixed - numbers on the left side

First, add the whole - numbers and the fractions separately. The whole - numbers are (1 + 6=7), and the fractions are (\frac{1}{9}+\frac{4}{9}=\frac{1 + 4}{9}=\frac{5}{9}). So (1\frac{1}{9}+6\frac{4}{9}=7\frac{5}{9}), which can be written as an improper fraction: (7\times9 + 5=63 + 5 = 68), so (7\frac{5}{9}=\frac{68}{9}). The right - hand side (9\frac{3}{9}) can be written as an improper fraction: (9\times9+3=81 + 3=84), so (9\frac{3}{9}=\frac{84}{9}).

Step2: Compare the two fractions

Since (\frac{68}{9}<\frac{84}{9}), then (1\frac{1}{9}+6\frac{4}{9}<9\frac{3}{9}).

Answer:

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