Which is larger?
`22/(26)or11/(14)`

Answer

To determine which fraction is larger between \( \frac{22}{26} \) and \( \frac{11}{14} \), we can follow these steps:

### Step 1: Simplify \( \frac{22}{26} \)
First, we simplify \( \frac{22}{26} \) by finding the greatest common divisor (GCD) of 22 and 26, which is 2.

\[ \frac{22 \div 2}{26 \div 2} = \frac{11}{13} \]

### Step 2: Compare \( \frac{11}{13} \) and \( \frac{11}{14} \)
Now we need to compare \( \frac{11}{13} \) and \( \frac{11}{14} \). Since both fractions have the same numerator (11), we can compare their denominators.

### Step 3: Determine which denominator is smaller
The fraction with the smaller denominator will be larger. Here, we compare 13 and 14:

- 13 < 14

### Step 4: Conclusion
Since \( \frac{11}{13} \) has a smaller denominator than \( \frac{11}{14} \), it is larger.

Thus, the answer is:

\[ \frac{11}{13} \text{ is larger than } \frac{11}{14} \]

### Summary
The larger fraction is \( \frac{11}{13} \).

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