Convert 45/2 into a mixed number.

Understand the Problem

The question is asking how to convert the fraction 45/2 into a mixed number. A mixed number consists of a whole number and a proper fraction. To solve this, we will divide 45 by 2 and find the quotient and the remainder, which will give us the whole number and the fraction part of the mixed number.

Answer

The mixed number is $ 22 \frac{1}{2} $.

Steps to Solve

Divide to Find the Whole Number To convert the fraction $\frac{45}{2}$ into a mixed number, divide 45 by 2.

Calculating:

$$ 45 \div 2 = 22 \text{ R } 1 $$

This means the quotient is 22, which will be the whole number.

Find the Remainder After dividing, the remainder is 1. This tells us how much is left after taking out the whole numbers.
Write the Proper Fraction Now, the remainder (1) becomes the numerator of the fractional part, and the denominator remains the same (2).

This gives us the proper fraction:

$$ \frac{1}{2} $$

Combine the Whole Number with the Fraction Finally, combine the whole number with the proper fraction to form the mixed number:

$$ 22 \frac{1}{2} $$

The mixed number is ( 22 \frac{1}{2} ).

More Information

Converting improper fractions to mixed numbers helps in simplifying mathematical expressions and making them easier to interpret. Mixed numbers are often used in everyday situations, such as measuring ingredients in cooking.

Tips

Forgetting to write the mixed number in the correct format (whole number followed by a fraction).
Not reducing the fraction if possible, though in this case, ( \frac{1}{2} ) is already in simplest form.

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