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How to write the quotient of a number plus 6 and 3 as a variable expression

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Final answer:

The quotient of a number plus 6 and 3 is written as (x + 6) ÷ 3 or as a fraction (x + 6) / 3, with 'x' representing the unknown number.

Step-by-step explanation:

To write the quotient of a number plus 6 and 3 using a variable expression, you can use the letter 'x' to represent the unknown number. The word 'quotient' indicates division in mathematical terms. Hence, the expression would be:

(x + 6) ÷ 3

This means you take the number 'x', add 6 to it, and then divide the result by 3. If you prefer to see it without the division sign, you can also write it as a fraction:

(x + 6) / 3

In both cases, the quotient represents the division of the sum of an unknown number and 6 by 3.

User David Carney
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5.3k points
3 votes
quotient of means divide ... look for the word "and" to place your division sign
The sign can be ÷ or a fraction bar /.
Because x plus six come after "quotient of" but prior to the "and" they must be considered as a group so use some form of grouping symbols if not in fraction from:
(x + 6) ÷ 3 or
(x+6)/(3)
User Mschr
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6.2k points