Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Workmen used 34\frac{3}{4} of a pallet of pavers to build some steps leading up to the mansion. They used 38\frac{3}{8} of a pallet for each step. How many steps did they build?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ steps

Full solution

Q. Workmen used 34\frac{3}{4} of a pallet of pavers to build some steps leading up to the mansion. They used 38\frac{3}{8} of a pallet for each step. How many steps did they build?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ steps
  1. Rewrite as division: Rewrite the problem as a division to find the number of steps.\newlineCalculation: (34)÷(38)(\frac{3}{4}) \div (\frac{3}{8})
  2. Convert to multiplication: Convert the division into multiplication by the reciprocal of the second fraction.\newlineCalculation: (34)×(83)(\frac{3}{4}) \times (\frac{8}{3})
  3. Multiply numerators and denominators: Multiply the numerators and the denominators.\newlineCalculation: 3×8=243 \times 8 = 24 and 4×3=124 \times 3 = 12, so (34)×(83)=2412(\frac{3}{4}) \times (\frac{8}{3}) = \frac{24}{12}
  4. Simplify fraction: Simplify the fraction 2412\frac{24}{12} to its lowest term.\newlineCalculation: 2412=2\frac{24}{12} = 2