Question
Replace the * by \( >,< \) or \( = \) to make the sentence true. \( -\frac{4}{9} *-\frac{5}{9} \)
Ask by Welch Hodgson. in South Africa
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( -\frac{4}{9} > -\frac{5}{9} \)
Solution
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Beyond the Answer
To compare the two numbers \( -\frac{4}{9} \) and \( -\frac{5}{9} \), we focus on their positions on the number line. Since both fractions are negative, we know that the number further to the left on the number line is the smaller number. Now, comparing the absolute values: \( 4 < 5 \), means \( -4 > -5 \). So we have \( -\frac{4}{9} > -\frac{5}{9} \). Therefore, the correct symbol to use is: \( -\frac{4}{9} > -\frac{5}{9} \)
