Q. Divide. Write your answer in simplest form. j21j−14÷6
Write as fraction: Write the division as a fraction.We have the expression (21j−14)/j÷6. To perform the division, we can rewrite the division as a multiplication by the reciprocal of 6, which is 1/6.
Multiply by reciprocal: Multiply by the reciprocal of 6. The expression becomes (21j−14)/j×1/6. This is equivalent to dividing the original expression by 6.
Combine fractions: Combine the fractions.When multiplying fractions, we multiply the numerators together and the denominators together. So, we have j×6(21j−14)×1.
Simplify expression: Simplify the expression.The numerator simplifies to 21j−14, and the denominator simplifies to 6j. So, the expression is now (21j−14)/(6j).
Factor out common factor: Factor out the common factor in the numerator.We can factor out a 7 from the numerator to get 7(3j−2). The expression is now 6j7(3j−2).
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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