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Divide. Write your answer in simplest form. \newline21j14j÷6\frac{21j - 14}{j} \div 6

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Q. Divide. Write your answer in simplest form. \newline21j14j÷6\frac{21j - 14}{j} \div 6
  1. Write as fraction: Write the division as a fraction.\newlineWe have the expression (21j14)/j÷6(21j - 14)/j \div 6. To perform the division, we can rewrite the division as a multiplication by the reciprocal of 66, which is 1/61/6.
  2. Multiply by reciprocal: Multiply by the reciprocal of 66. The expression becomes (21j14)/j×1/6(21j - 14)/j \times 1/6. This is equivalent to dividing the original expression by 66.
  3. Combine fractions: Combine the fractions.\newlineWhen multiplying fractions, we multiply the numerators together and the denominators together. So, we have (21j14)×1j×6\frac{(21j - 14) \times 1}{j \times 6}.
  4. Simplify expression: Simplify the expression.\newlineThe numerator simplifies to 21j1421j - 14, and the denominator simplifies to 6j6j. So, the expression is now (21j14)/(6j)(21j - 14)/(6j).
  5. Factor out common factor: Factor out the common factor in the numerator.\newlineWe can factor out a 77 from the numerator to get 7(3j2)7(3j - 2). The expression is now 7(3j2)6j\frac{7(3j - 2)}{6j}.
  6. Cancel common factors: Simplify the fraction by canceling out common factors. There are no common factors between the numerator and the denominator that can be canceled out. Therefore, the expression is already in its simplest form.

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