Conquer the College Math Placement Challenge 2026 – Step Up and Shine!

To convert the mixed number four and two-fifths into an improper fraction, you start by multiplying the whole number part by the denominator of the fractional part. In this case, you take the whole number, which is 4, and multiply it by the denominator, which is 5, resulting in 4 × 5 = 20.

Next, you add the numerator of the fractional part, which is 2, to the product obtained in the previous step: 20 + 2 = 22. The sum, 22, becomes the numerator of the improper fraction, while the denominator remains the same as the fractional part, which is 5.

Thus, four and two-fifths is expressed as the improper fraction 22/5. This confirms that the correct answer is indeed 22/5, as it accurately reflects the original mixed number in the improper fraction format.