Final answer:
Subtract 1/4 from −6 3/8 by converting the mixed number to an improper fraction, finding a common denominator, performing the subtraction, and then converting back to a mixed-number to get −7 5/8.
Step-by-step explanation:
To find the result of −6 3/8−1/4, we start by converting the mixed number to an improper fraction. −6 3/8 is the same as −51/8. Now, we can subtract 1/4 from −51/8 by finding a common denominator, which in this case is 8. To convert 1/4 to eighths, we multiply both the numerator (1) and the denominator (4) by 2, giving us 2/8. Now we can subtract: −51/8 minus 2/8 equals −53/8.
Finally, to convert the improper fraction −53/8 back to a mixed number, we divide the numerator by the denominator. There are 6 wholes in 53 (since 8 * 6 = 48), with a remainder of 5. So, −53/8 as a mixed number is −7 5/8.