A cosmic scene with glowing mathematical fractions 9/12 and 3/4 transitioning to the decimal 0.75, representing a conversion.

Let's convert \(\frac{9}{12}\) to a decimal using long division step by step: 1. **Set up the division:** Divide 9 by 12. 2. **Since 12 can't go into 9, add a decimal point and add zeros:** Think of it as 9.0000... 3. **How many times does 12 go into 90?** - 12 × 7 = 84 - 12 × 8 = 96 (too big) So, it goes 7 times. 4. **Write 7 in the quotient, subtract 84 from 90:** - 90 - 84 = 6 5. **Bring down a 0 (making it 60):** - How many times does 12 go into 60? - 12 × 5 = 60 Write 5 in the quotient. 6. **Subtract:** - 60 - 60 = 0 7. **Since the remainder is 0, we're done!** **The decimal is 0.75** **Answer: \(\frac{9}{12} = 0.75\)** See more