3/4 - 9/5 + 5/6 is equal to ____?
- 43/36
- 51/36
- 41/36
- 33/36
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.
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