Reduce `1562//1846` and `924//1188` in lowest terms.

Explanation

To reduce the fractions \( \frac{1562}{1846} \) and \( \frac{924}{1188} \) to their lowest terms, we will follow these steps:

### Step 1: Factor the Numerator and Denominator of the First Fraction
We start with the first fraction \( \frac{1562}{1846} \).

1. **Find the factors of 1562 and 1846**:
- \( 1562 = 11 \times 142 \)
- \( 1846 = 13 \times 142 \)

### Step 2: Write the Fraction in Terms of Its Factors
Now we can rewrite the fraction using these factors:
\[ \frac{1562}{1846} = \frac{11 \times 142}{13 \times 142} \]

### Step 3: Cancel the Common Factors
Next, we can cancel the common factor \( 142 \) from the numerator and the denominator:
\[ \frac{11 \times 142}{13 \times 142} = \frac{11}{13} \]

### Step 4: Conclusion for the First Fraction
Thus, the reduced form of \( \frac{1562}{1846} \) is:
\[ \frac{11}{13} \]

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### Step 5: Factor the Numerator and Denominator of the Second Fraction
Now, we move on to the second fraction \( \frac{924}{1188} \).

1. **Find the factors of 924 and 1188**:
- \( 924 = 7 \times 132 \)
- \( 1188 = 9 \times 132 \)

### Step 6: Write the Fraction in Terms of Its Factors
We can rewrite the second fraction using these factors:
\[ \frac{924}{1188} = \frac{7 \times 132}{9 \times 132} \]

### Step 7: Cancel the Common Factors
Now, we can cancel the common factor \( 132 \) from the numerator and the denominator:
\[ \frac{7 \times 132}{9 \times 132} = \frac{7}{9} \]

### Step 8: Conclusion for the Second Fraction
Thus, the reduced form of \( \frac{924}{1188} \) is:
\[ \frac{7}{9} \]

### Final Answer
The reduced forms of the fractions are:
- \( \frac{1562}{1846} = \frac{11}{13} \)
- \( \frac{924}{1188} = \frac{7}{9} \)

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