Respuesta :
Answer:
17
Step-by-step explanation:
4 1/4 - 2 5/6
These are mixed fractions
Step one
Convert mixed fraction to improper fraction
4 1/4 = [(4×4)+1]/4=(16+1)/4=17/4
2 5/6 = [(2×6)+5]/6=(12+5)/6=17/6
Step 2
Difference between 17/4 and 17/6
Find the lowest common multiples of the denominators of both fractions
Multiples of 4
4×1=4
4×2=8
4×3=12
Multiples of 6
6×1=6
6×2=12
The lowest common multiple(LCM) of 4 and 6 is 12
Step 3
Multiply each fraction by the LCM , 12
[(17/4)×12] - [(17/6)×12]=51-34=17