Answer :

Final answer:

To convert the improper fraction 45/12 to a mixed number, divide 45 by 12 to get a quotient (whole number part) of 3 and a remainder of 9. The mixed number is therefore 3 9/12. To simplify further, the fraction 9/12 can be reduced to 3/4, giving a final answer of 3 3/4.

Explanation:

The subject of your question is Mathematics, and it's typically a concept addressed in Middle School education. To convert the

improper fraction

45/12 to a

mixed number

, start by dividing the numerator (45) by the denominator (12). This yields a quotient of 3 with a remainder of 9. This quotient will be the whole number part of your mixed number. The remainder becomes the numerator of the fractional part, and the denominator remains the same. Therefore, 45/12 as a mixed number is 3 9/12. If you want to simplify further, 9/12 can be reduced to 3/4 by dividing both the numerator and denominator by their greatest common divisor (3). Therefore, the simplified mixed number is 3 3/4.

Learn more about Fraction Conversion here:

https://brainly.com/question/34310410

#SPJ11