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156×2341 \frac{5}{6} \times 2 \frac{3}{4}

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Full solution

Q. 156×2341 \frac{5}{6} \times 2 \frac{3}{4}
  1. Convert to Improper Fractions: First, convert the mixed numbers to improper fractions.\newline156=(6×1+5)6=1161\frac{5}{6} = \frac{(6\times1 + 5)}{6} = \frac{11}{6}\newline234=(4×2+3)4=1142\frac{3}{4} = \frac{(4\times2 + 3)}{4} = \frac{11}{4}
  2. Multiply Improper Fractions: Now, multiply the two improper fractions. (116)×(114)=12124(\frac{11}{6}) \times (\frac{11}{4}) = \frac{121}{24}
  3. Simplify and Convert: Simplify the fraction if possible. 121/24121/24 can't be simplified further, so we can convert it back to a mixed number. 121÷24=5121 \div 24 = 5 with a remainder of 11. So, 121/24=5124121/24 = 5 \frac{1}{24}

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