Question

%5Cfrac%7B1%7D%7B208%7D%20%2B%20%5Cfrac%7B1%7D%7B304%7D%20%3D%20%3F" id="TexFormula1" title="\frac{1}{28} + \frac{1}{70} + \frac{1}{130} + \frac{1}{208} + \frac{1}{304} = ?" alt="\frac{1}{28} + \frac{1}{70} + \frac{1}{130} + \frac{1}{208} + \frac{1}{304} = ?" align="absmiddle" class="latex-formula">
Evaluate this expression.

Answer 1

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

$\frac{9100}{138320}$

How do we add fractions?

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

$\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}$

More can be learned about the addition of fractions at brainly.com/question/78672

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