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Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.

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Answer:

(3x4) divided by 12

Step-by-step explanation:

The given phrase when translated into an algebraic expression and simplified gives us;

[tex]\frac{12}{3 * 4}[/tex] = 1

  • This is about expression of word problems in algebra form.
  • Generally quotient is referred to as the result between the division of two numbers. However, in multiplication, it simply means to divide.

  • Now, we are given a quotient of 12 and asked to express in algebraic expression alongside the product of 3 and 4. This can be expressed as;

       12/(3 × 4)

  • Now, to simplify it let us multiply what is in the bracket and then divide to get; 12/12 = 1

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