Final answer:
To find the difference between 24 1/8 and 6 3/4, convert them to improper fractions, subtract the fractions, and simplify the result. The difference is 17 7/8.
Step-by-step explanation:
To find the difference between 24 1/8 and 6 3/4, we need to subtract the two numbers. To do this, we need to have a common denominator. The least common denominator (LCD) for 8 and 4 is 8. So, we convert 24 1/8 to an improper fraction by multiplying the whole number (24) by the denominator (8) and adding the numerator (1). This gives us 193/8. Similarly, we convert 6 3/4 to an improper fraction, which is 27/4. Now, we can subtract the two fractions: 193/8 - 27/4. To subtract fractions, we need a common denominator, which is 8 in this case. Subtracting the fractions gives us (193 - 54) / 8 = 139/8, which is an improper fraction. If desired, we can convert it back to a mixed number by dividing the numerator (139) by the denominator (8) and expressing the remainder as a fraction. The quotient is 17 with a remainder of 7, so the mixed number is 17 7/8. Therefore, the difference between 24 1/8 and 6 3/4 is 17 7/8.
Learn more about subtracting mixed numbers