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Multiply. Simplify your answer.\newline3d27d2×11d\frac{3d^2}{7d^2} \times 11d

Full solution

Q. Multiply. Simplify your answer.\newline3d27d2×11d\frac{3d^2}{7d^2} \times 11d
  1. Identify terms in multiplication form: Identify the terms to be multiplied and write them in multiplication form. We have the fraction 3d27d2\frac{3d^2}{7d^2} and the term 11d11d. So, we write the multiplication as (3d27d2)×11d\left(\frac{3d^2}{7d^2}\right) \times 11d.
  2. Cancel common factors: Cancel out common factors in the numerator and the denominator before multiplying. In this case, d2d^2 can be canceled out from the numerator and the denominator, leaving us with 37×11d\frac{3}{7} \times 11d.
  3. Multiply remaining terms: Multiply the remaining terms. Multiplying 37\frac{3}{7} by 11d11d gives us (3×11d)/7(3 \times 11d) / 7, which simplifies to 33d7\frac{33d}{7}.
  4. Check for further simplification: Check for any further simplification. Since 3333 and 77 have no common factors other than 11, the fraction 33d7\frac{33d}{7} is already in its simplest form.

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