Question

Divide. Express your answer in simplest form: 8/9 ÷ 8

a) 1/9
b) 1
c) 9/8
d) 2/3

Answer 1

To divide 8/9 by 8, multiply by the reciprocal of 8 (which is 1/8), resulting in 8/72, and then simplify to get 1/9.

Step-by-step explanation:

To divide the fraction 8/9 by 8, we need to multiply 8/9 by the reciprocal of 8. The reciprocal of a whole number is 1 divided by that number. Therefore, the reciprocal of 8 is 1/8.

Now, let's multiply the fraction 8/9 by the reciprocal of 8:

1. Write the problem as a multiplication question: (8/9) × (1/8).
2. Multiply the numerators together: 8 × 1 = 8.
3. Multiply the denominators together: 9 × 8 = 72.
4. So, we have 8/72 as the product.
5. Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 8: 8 ÷ 8 = 1 and 72 ÷ 8 = 9.
6. The simplified form of the fraction is 1/9.

Therefore, the simplest form of 8/9 ÷ 8 is 1/9.