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

The answer is 17.....