MathCastle
Grade 5ChallengeMultiplying Fractions

Multiplying Fractions · Challenge problem

Ella worked out 312×2123\dfrac{1}{2} \times 2\dfrac{1}{2} like this: 3×2=63 \times 2 = 6 and 12×12=14\dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}, so the answer is 6146\dfrac{1}{4}. Her method is wrong. By how much is her answer too small? Give your answer as a mixed number.