Compare the following fractions using cross products.
`3/(14)and4/(17)`

Answer

To compare the fractions \( \frac{3}{14} \) and \( \frac{4}{17} \) using cross products, follow these steps:

### Step 1: Write down the fractions
We have the fractions \( \frac{3}{14} \) and \( \frac{4}{17} \).

### Step 2: Cross multiply
To compare the fractions, we will cross multiply:
- Multiply the numerator of the first fraction by the denominator of the second fraction:
\[ 3 \times 17 \]
- Multiply the numerator of the second fraction by the denominator of the first fraction:
\[ 4 \times 14 \]

### Step 3: Calculate the cross products
Now, let's calculate each cross product:
- For \( 3 \times 17 \):
\[ 3 \times 17 = 51 \]
- For \( 4 \times 14 \):
\[ 4 \times 14 = 56 \]

### Step 4: Compare the results
Now we compare the two results:
- \( 51 \) (from \( 3 \times 17 \))
- \( 56 \) (from \( 4 \times 14 \))

Since \( 56 \) is greater than \( 51 \), we can conclude that:
\[ \frac{4}{17} > \frac{3}{14} \]

### Conclusion
Thus, \( \frac{4}{17} \) is greater than \( \frac{3}{14} \).

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