Compare the following fractions using cross products.
`7/(11)and6/(7)`

Answer

To compare the fractions \( \frac{7}{11} \) and \( \frac{6}{7} \) using cross products, follow these steps:

### Step 1: Write down the fractions
We have two fractions to compare:
- \( \frac{7}{11} \)
- \( \frac{6}{7} \)

### Step 2: Cross multiply the fractions
To compare the fractions using cross multiplication, we will multiply the numerator of the first fraction by the denominator of the second fraction and vice versa.

1. Multiply the numerator of the first fraction by the denominator of the second fraction:
\[ 7 \times 7 = 49 \]

2. Multiply the numerator of the second fraction by the denominator of the first fraction:
\[ 6 \times 11 = 66 \]

### Step 3: Compare the results of the cross multiplication
Now we compare the two results obtained from the cross multiplication:
- \( 49 \) (from \( 7 \times 7 \))
- \( 66 \) (from \( 6 \times 11 \))

Since \( 66 > 49 \), we can conclude that:
\[ \frac{6}{7} > \frac{7}{11} \]

### Step 4: State the final answer
Thus, the final answer is:
\[ \frac{6}{7} \text{ is greater than } \frac{7}{11} \]

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