Answer :
Final answer:
To divide 8/15 by 12/25, you multiply by the reciprocal resulting in 8/15 × 25/12. After multiplying and simplifying, the answer is 10/9.
Explanation:
The question requires us to perform division with fractions: 8/15 ÷ 12/25. To simplify this expression, we employ the concept of multiplying by the reciprocal of the second fraction. Therefore, the original operation of division changes to multiplication, where 8/15 is multiplied by the reciprocal of 12/25, which is 25/12.
Steps to simplify:
- Multiply the numerators: 8 × 25 = 200.
- Multiply the denominators: 15 × 12 = 180.
- Simplify the resulting fraction 200/180 to its lowest terms.
Both the numerator and the denominator can be divided by 20, resulting in 10/9 after simplification. Therefore, 8/15 ÷ 12/25 simplifies to 10/9.