Convert 3 1/4 to an improper fraction.

Convert 3 1/4 to an improper fraction.

• A. 13/4
• B. 25/4
• C. 11/4
• D. 7/4

Answer: (A)

Converting a mixed number to an improper fraction means turning the whole-number part into the same denominator and then adding the fractional part. For 3 1/4, write the whole number as quarters: 3 equals 12/4. Then add the remaining 1/4 to get 12/4 + 1/4 = 13/4. So the improper fraction is 13/4. This also checks out by reversing: 13/4 equals 3 with a remainder of 1, which is 3 1/4. The other fractions correspond to different mixed numbers (for example, 25/4 is 6 1/4, 11/4 is 2 3/4, and 7/4 is 1 3/4), not 3 1/4.

Converting a mixed number to an improper fraction means turning the whole-number part into the same denominator and then adding the fractional part. For 3 1/4, write the whole number as quarters: 3 equals 12/4. Then add the remaining 1/4 to get 12/4 + 1/4 = 13/4. So the improper fraction is 13/4. This also checks out by reversing: 13/4 equals 3 with a remainder of 1, which is 3 1/4. The other fractions correspond to different mixed numbers (for example, 25/4 is 6 1/4, 11/4 is 2 3/4, and 7/4 is 1 3/4), not 3 1/4.