To subtract fractions, you need to have a common denominator. In this case, the common denominator is 8.
So, you need to convert ⅜ into a fraction with a denominator of 8. To do this, you multiply both the numerator and denominator of ⅜ by 2:
⅜ = (32)/(82) = 6/16
Now you can subtract the fractions:
⅞ - 6/16 = (816 - 67)/(8*16) = (128 - 42)/128 = 86/128
The fraction 86/128 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
86/128 = (86/2)/(128/2) = 43/64
So, the final answer is 43/64.
