Final answer:
To subtract mixed numbers from fractions, convert the mixed number to an improper fraction, find the least common multiple of the denominators to make them the same, and then subtract the fractions. So, the difference of the fractions is 47/20. Therefore, the correct option is D.
Step-by-step explanation:
To subtract a mixed number from a fraction, you need to first convert the mixed number to an improper fraction.
In this case, 2 3/5 can be converted to the improper fraction 13/5.
Now you can subtract the two fractions: 13/5 - 1/4.
To subtract fractions, the denominators must be the same.
To make the denominators the same, find the least common multiple (LCM) of 5 and 4, which is 20.
The LCM is used to create equivalent fractions.
Multiply the numerator and denominator of the first fraction (13/5) by 4 to get 52/20.
Multiply the numerator and denominator of the second fraction (1/4) by 5 to get 5/20.
Now subtract the two fractions: 52/20 - 5/20 = 47/20.
Therefore, 2 3/5 - 1/4 equals 47/20 (D).