Convert 7 2/5 to an improper fraction.

• A. 32/5
• B. 7/5
• C. 39/5
• D. 37/5

Answer: (D)

Converting a mixed number to an improper fraction is done by turning the whole part into the same-sized pieces as the fractional part and putting them over the same denominator. For 7 2/5, multiply the whole number 7 by the denominator 5 to get 35, then add the numerator 2 to get 37. Put that over the same denominator 5, giving 37/5. This fraction corresponds to 7 2/5 because 37 divided by 5 equals 7 with remainder 2. The other fractions would represent different mixed numbers: for example, 32/5 is 6 2/5, 7/5 is 1 2/5, and 39/5 is 7 4/5, not 7 2/5.