236-6 3/7=

To solve the equation \( 236 - 6 \frac{3}{7} \): 1. First, convert the mixed number \( 6 \frac{3}{7} \) to an improper fraction: \[ 6 \frac{3}{7} = 6 + \frac{3}{7} = \frac{42}{7} + \frac{3}{7} = \frac{45}{7} \] 2. Next, convert \( 236 \) to a fraction with a denominator of 7. We can write \( 236 \) as: \[ 236 = \frac{236 \times 7}{7} = \frac{1652}{7} \] 3. Now, subtract \( \frac{45}{7} \) from \( \frac{1652}{7} \): \[ \frac{1652}{7} - \frac{45}{7} = \frac{1652 - 45}{7} = \frac{1607}{7} \] 4. 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: \[ 236 - 6 \frac{3}{7} = 229 \]