To solve the equation \( 236 - 6 \frac{3}{7} \):
First, convert the mixed number \( 6 \frac{3}{7} \) to an improper fraction: \[ 6 \frac{3}{7} = 6 + \frac{3}{7} = \frac{42}{7} + \frac{3}{7} = \frac{45}{7} \]
Next, convert \( 236 \) to a fraction with a denominator of 7. We can write \( 236 \) as: \[ 236 = \frac{236 \times 7}{7} = \frac{1652}{7} \]
Now, subtract \( \frac{45}{7} \) from \( \frac{1652}{7} \): \[ \frac{1652}{7} - \frac{45}{7} = \frac{1652 - 45}{7} = \frac{1607}{7} \]
Now, simplify \( \frac{1607}{7} \):
- Divide \( 1607 \) by \( 7 \): \[ 1607 \div 7 = 229 \]
- There is no remainder, so \( \frac{1607}{7} = 229 \).
Thus, the final result is: \[ 236 - 6 \frac{3}{7} = 229 \]