Solve the Fraction Division: 8/9 ÷ 4 Step-by-Step

To solve the problem of dividing the fraction $\frac{8}{9}$ by the whole number 4, we will follow the reciprocal method.

• Step 1: Express the whole number 4 as a fraction: $4 = \frac{4}{1}$.
• Step 2: Find the reciprocal of $\frac{4}{1}$, which is $\frac{1}{4}$.
• Step 3: Multiply the original fraction $\frac{8}{9}$ by $\frac{1}{4}$:
  $\frac{8}{9} \times \frac{1}{4} = \frac{8 \times 1}{9 \times 4} = \frac{8}{36}.$
• Step 4: Simplify the fraction $\frac{8}{36}$. The greatest common divisor (GCD) of 8 and 36 is 4:
  $\frac{8 \div 4}{36 \div 4} = \frac{2}{9}.$

Thus, the result of dividing $\frac{8}{9}$ by 4 is $\frac{2}{9}$.