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Find the product. 7(1)/(2)×(3)/(5) Answer as a mixed number in simplest forn Enter the numerator.

Find the product.\newline712×35 7 \frac{1}{2} \times \frac{3}{5} \newlineAnswer as a mixed number in simplest forn Enter the numerator.

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Multiply and divide complex numbersright chevron icon

Full solution

Q. Find the product.\newline712×35 7 \frac{1}{2} \times \frac{3}{5} \newlineAnswer as a mixed number in simplest forn Enter the numerator.
  1. Convert to Improper Fraction: First, convert the mixed number 7127\frac{1}{2} to an improper fraction.712=(7×2+1)2=(14+1)2=1527\frac{1}{2} = \frac{(7 \times 2 + 1)}{2} = \frac{(14 + 1)}{2} = \frac{15}{2}.
  2. Multiply by Fraction: Now, multiply the improper fraction 152\frac{15}{2} by the fraction 35\frac{3}{5}.(152)×(35)=15×32×5=4510\left(\frac{15}{2}\right) \times \left(\frac{3}{5}\right) = \frac{15 \times 3}{2 \times 5} = \frac{45}{10}.
  3. Simplify Resulting Fraction: Simplify the resulting fraction 4510\frac{45}{10} by dividing both the numerator and the denominator by their greatest common divisor, which is 55.4510÷55=(45÷510÷5)=92.\frac{45}{10} \div \frac{5}{5} = \left(\frac{45 \div 5}{10 \div 5}\right) = \frac{9}{2}.
  4. Convert to Mixed Number: Convert the improper fraction 92\frac{9}{2} back to a mixed number.92=(8+1)2=412\frac{9}{2} = \frac{(8 + 1)}{2} = 4\frac{1}{2}.

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