Ask AI: Evaluate. 27 1 over 3 16 1 over 4

It looks like you wrote: **27 1 over 3 16 1 over 4** I think you are referring to multiplying or dividing mixed numbers: **27 1/3 and 16 1/4** Let me know if you are trying to **multiply** or **divide** these numbers. I'll show both: --- ### 1. **Multiplication** **(27 1/3) × (16 1/4)** **Step 1: Convert to improper fractions** - \( 27 \frac{1}{3} = \frac{27 \times 3 + 1}{3} = \frac{81 + 1}{3} = \frac{82}{3} \) - \( 16 \frac{1}{4} = \frac{16 \times 4 + 1}{4} = \frac{64 + 1}{4} = \frac{65}{4} \) **Step 2: Multiply** \[ \frac{82}{3} \times \frac{65}{4} = \frac{82 \times 65}{3 \times 4} = \frac{5330}{12} \] **Step 3: Simplify (optional, convert to mixed number)** - \( 5330 \div 12 = 444 \) remainder \( 2 \). - Mixed number: \( 444 \frac{2}{12} = 444 \frac{1}{6} \) **Final Answer:** \[ (27 \frac{1}{3}) \times (16 \frac{1}{4}) = 444 \frac{1}{6} \] --- ### 2. **Division** **(27 1/3) ÷ (16 1/4)** **Step 1: Use same improper fractions:** - \( \frac{82}{3} \div \frac{65}{4} \) **Step 2: Flip second fraction and multiply** \[ \frac{82}{3} \times \frac{4}{65} = \frac{82 \times 4}{3 \times 65} = \frac{328}{195} \] **Step 3: Convert to mixed number** - \( 328 \div 195 = 1 \), remainder \( 133 \) - Mixed number: \( 1 \frac{133}{195} \) **Final Answer:** \[ (27 \frac{1}{3}) \div (16 \frac{1}{4}) = 1 \frac{133}{195} \] --- **If you want to add or subtract, just let me know!**