Which sign makes the statement true? $\newline$ $\frac{5}{9} + \frac{1}{9}$ ? $\frac{6}{9} + \frac{2}{9}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) = $\newline$

Full solution

Q. Which sign makes the statement true?

\newline

\frac{5}{9} + \frac{1}{9}

\frac{6}{9} + \frac{2}{9}

\newline

Choices:

\newline

(A) >

\newline

(B) <

\newline

\newline

Add Fractions: Add the fractions on the left side of the question. $\newline$ $\frac{5}{9} + \frac{1}{9} = \frac{6}{9}$
Compare Results: Add the fractions on the right side of the question. $\newline$ $\frac{6}{9} + \frac{2}{9} = \frac{8}{9}$
Determine Correct Sign: Compare the results of Step $1$ and Step $2$ . $\newline$ $\frac{6}{9}$ ? $\frac{8}{9}$
Determine Correct Sign: Compare the results of Step $1$ and Step $2$ . $\newline$ $\frac{6}{9}$ ? $\frac{8}{9}$ Determine the correct sign between the two results. $\newline$ Since $\frac{6}{9}$ (which is $\frac{2}{3}$ when simplified) is less than $\frac{8}{9}$ , the correct sign is ＂<＂.