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Multiply. Write your answer as a fraction or as a whole or mixed number.\newline413×514=4\frac{1}{3} \times 5\frac{1}{4} = _____

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Q. Multiply. Write your answer as a fraction or as a whole or mixed number.\newline413×514=4\frac{1}{3} \times 5\frac{1}{4} = _____
  1. Convert to Improper Fractions: Convert the mixed numbers to improper fractions.\newline413=(4×3+1)/3=1334 \frac{1}{3} = (4 \times 3 + 1)/3 = \frac{13}{3}\newline514=(5×4+1)/4=2145 \frac{1}{4} = (5 \times 4 + 1)/4 = \frac{21}{4}
  2. Multiply Improper Fractions: Multiply the improper fractions.\newline(133)×(214)=(13×213×4)=27312(\frac{13}{3}) \times (\frac{21}{4}) = (\frac{13 \times 21}{3 \times 4}) = \frac{273}{12}
  3. Simplify Fraction: Simplify the fraction.\newline27312\frac{273}{12} can be simplified to 2291222 \frac{9}{12} by dividing 273273 by 1212, which gives 2222 remainder 99.\newlineThen simplify 912\frac{9}{12} to 34\frac{3}{4} by dividing both numerator and denominator by 33.

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