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Solve problem 3: Multiply the fractions (3)/(2) x (6)/(3) and simplify the result.

Mathematics

ScanSolve AI Answer

Answer

3

Step-by-step solution

4 steps

To solve , we need to multiply the two fractions: 32×63\frac{3}{2} \times \frac{6}{3}.

  1. Multiply the numerators together.

    3×6=183 \times 6 = 18
  2. Multiply the denominators together.

    2×3=62 \times 3 = 6
  3. Combine the new numerator and denominator to form the product fraction.

    186\frac{18}{6}
  4. Simplify the fraction by dividing the numerator by the denominator.

    18÷6=318 \div 6 = 3

    Alternatively, we can simplify before multiplying:

    32×63\frac{3}{2} \times \frac{6}{3}

    We can cancel out the common factor of 3 from the numerator of the first fraction and the denominator of the second fraction:

    32×63=12×61\frac{\cancel{3}}{2} \times \frac{6}{\cancel{3}} = \frac{1}{2} \times \frac{6}{1}

    Now, multiply the remaining numerators and denominators:

    1×62×1=62\frac{1 \times 6}{2 \times 1} = \frac{6}{2}

    Finally, simplify the fraction:

    62=3\frac{6}{2} = 3

    The result is:

    33
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