For each of the following sets of fraction, decied which fraction is larger :
`(5)/(7)" vs." (3)/(7)`

Answer

To determine which fraction is larger between \( \frac{5}{7} \) and \( \frac{3}{7} \), we can follow these steps:

### Step 1: Identify the fractions
We have two fractions to compare:
- Fraction 1: \( \frac{5}{7} \)
- Fraction 2: \( \frac{3}{7} \)

### Step 2: Check the denominators
Both fractions have the same denominator, which is 7.

### Step 3: Compare the numerators
Now, we compare the numerators of the two fractions:
- Numerator of Fraction 1: 5
- Numerator of Fraction 2: 3

### Step 4: Determine which numerator is larger
Since \( 5 > 3 \), we can conclude that the numerator of Fraction 1 is larger than the numerator of Fraction 2.

### Step 5: Conclude which fraction is larger
Since both fractions have the same denominator and the numerator of \( \frac{5}{7} \) is greater than the numerator of \( \frac{3}{7} \), we can conclude that:
\[ \frac{5}{7} > \frac{3}{7} \]

### Final Answer
Thus, the larger fraction is \( \frac{5}{7} \).

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