4 7/32x-(3 3/4x - 1 7/32x)

Let's simplify the expression step by step:

4 7/32x - (3 3/4x - 1 7/32x)

First, we convert the mixed numbers to improper fractions:

4 7/32x = (4 * 32 + 7) / 32x = 135/32x 3 3/4x = (3 * 4 + 3) / 4x = 15/4x 1 7/32x = (1 * 32 + 7) / 32x = 39/32x

Now our expression looks like:

135/32x - (15/4x - 39/32x)

Next, we simplify what's inside the parentheses by finding a common denominator, which is 32 in this case:

15/4x can be converted to a fraction with a denominator of 32 by multiplying both the numerator and denominator by 8:

15/4x = (15 * 8) / (4 * 8)x = 120/32x

Now we have:

135/32x - (120/32x - 39/32x)

Simplify the expression inside the parentheses:

135/32x - (120/32x - 39/32x) = 135/32x - (120/32 - 39/32)x 135/32x - ((120 - 39) / 32)x = 135/32x - (81/32)x

Now subtract the two fractions:

135/32x - 81/32x = (135 - 81) / 32x = 54/32x

Finally, we simplify the fraction:

54/32 can be simplified by dividing both numerator and denominator by 2:

54/32 = (54 ÷ 2) / (32 ÷ 2) = 27/16x

So the simplified expression is:

27/16x