The average 10

The average of three fractions is 2 3/8. If two of the fractions are 2 1/5 and 1 2/3, what is the total value of the three fractions?

Final Answer:

c =  3 31⁄120 = 391/120

Step-by-step explanation:

a=251​=2+51​=52⋅ 5+1​=510+1​=511​=251​=2.2 b=132​=1+32​=31⋅ 3+2​=33+2​=35​=132​≐1.6667  μ=283​=2+83​=82⋅ 8+3​=816+3​=819​=283​=2.375  μ = 3a+b+c​ 3μ = a+b+c = s  s=3⋅ μ=3⋅ 819​=83⋅ 19​=857​=7.125  c=s−a−b=857​−511​−35​=120855​−120264​−120200​=120855−264−200​=120391​=312031​=3.2583

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