Explanation

Convert all fractions to have a common denominator (60):

3/4 = 45/60

9/5 = 108/60

5/6 = 50/60

Subtract 108/60 from 45/60:

45/60 - 108/60 = -63/60

Add 50/60 to -63/60:

-63/60 + 50/60 = -13/60

Simplify the fraction:

-13/60 = 47/60 (multiply numerator and denominator by -1)

Find the equivalent fraction with a denominator of 36:

47/60 = 188/240 = 47/60 = 282/360 = 47/60 = 141/180 = 47/60 = 94/120 = 47/60 = 282/360 = 41/36 (divide numerator and denominator by 60)

So, 3/4 - 9/5 + 5/6 is equal to 41/36.