Questions: Which of the following has the greatest value (is the largest number)? 1/4 2/7 5/9 2/3

Transcript text: Which of the following has the greatest value (is the largest number)? $\frac{1}{4}$ $\frac{2}{7}$ $\frac{5}{9}$ $\frac{2}{3}$

Solution

Step 1: Convert Fractions to Decimal Form

To compare the fractions, we first convert each fraction to its decimal form:

Step 2: Compare Decimal Values

Now, we compare the decimal values obtained:

Among these, $0.6667$ is the largest.

The fraction with the greatest value is $\frac{2}{3}$.

\[ \boxed{\frac{2}{3}} \]

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