Question

What symbol makes the sentence true? -3½ ? -3 5/9

Answer 1

$\frac{-63}{18}\geq \frac{-64}{18}$

So, Option A is correct

Step-by-step explanation:

We need to identify the expression, that makes the sentence true:

$-3\frac{1}{2}?-3\frac{5}{9}$

First converting mixed fraction into improper fraction

$-3\frac{1}{2}=\frac{-7}{2}$

$-3\frac{5}{9}=\frac{-32}{9}$

For comparing both terms, their denominator should be same.

Multiplying $\frac{-7}{2}$ by 9 and $\frac{-32}{9}$ by 2 to make denominator same.

$\frac{-7*9}{2*9}=\frac{-63}{18}$

$\frac{-32*2}{9*2}=\frac{-64}{18}$

So, comparing terms $\frac{-63}{18}\,\,and\,\,\frac{-64}{18}$

$\frac{-63}{18}? \frac{-64}{18}\\\frac{-63}{18}\geq \frac{-64}{18}$

So, Option A is correct

Keywords: Comparing fractions

Learn more about Comparing fractions at:

• brainly.com/question/7490805
• brainly.com/question/4192226
• brainly.com/question/1465430

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