Final answer:
To solve 5 ÷ 7/12, multiply 5 by the reciprocal of 7/12, which is 12/7. The solution is simplified to 8 4/7 or approximately 8.5714.
Step-by-step explanation:
To solve the problem 5 ÷ 7/12, you can think of the division as multiplying by the reciprocal.
This means you'll be multiplying 5 by the reciprocal of 7/12, which is 12/7.
When you multiply fractions, you multiply the numerators together and multiply the denominators together.
Step-by-Step Solution:
- Write the reciprocal of 7/12, which is 12/7.
- Multiply 5 by 12/7: 5 × 12/7.
- Since 5 can be written as 5/1, you then have (5/1) × (12/7).
- Multiplying the numerators together: 5 × 12 = 60.
- Multiplying the denominators together: 1 × 7 = 7.
- Simplify the fraction 60/7 which is 8 4/7 or approximately 8.5714.
Therefore, the simplified answer to 5 ÷ 7/12 is 8 4/7 or 8.5714.