Average Fraction

Algebra Level 2

What is the average of

1 3 and 1 5 ? \large \frac{1}{3} \text{ and } \frac{1}{5} ?

2 15 \frac{ 2}{15} None of the rest 4 15 \frac{4}{15} 1 4 \frac{1}{4}

Chung Kevin by Chung Kevin , 46, Australia

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1 solution

Hung Woei Neoh
Dec 1, 2016

Average

= 1 3 + 1 5 2 = 5 15 + 3 15 2 = 8 15 2 = 8 4 15 ( 1 2 1 ) = 4 15 =\dfrac{\frac{1}{3}+\frac{1}{5}}{2}\\ =\dfrac{\frac{5}{15}+\frac{3}{15}}{2}\\ =\dfrac{\frac{8}{15}}{2}\\ =\dfrac{\color{#D61F06}{\cancel{\color{#333333}{8}}}4}{15}\left(\dfrac{1}{\color{#D61F06}{\cancel{\color{#333333}{2}}}1}\right)\\ =\boxed{\dfrac{4}{15}}

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