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What is the sum $\frac{10}{19} + \frac{3}{19}$ $10/19+3/19$ ?

1 Answer

Nov 9, 2016

$\frac{10}{19} + \frac{3}{19} = \frac{13}{19}$ $10/19 + 3/19 = color(green)(13/19)$

Explanation:

$10$ $10$ of anything plus $3$ $3$ of the same thing $= 13$ $=13$ of that thing:

$XXX 10 elephants + 3 elephants = 13 elephants$ $color(white)("XXX")10 " elephants" + 3 " elephants" = 13 " elephants"$

$XXX 10 nineteenths + 3 nineteenths = 13 nineteenths$ $color(white)("XXX")10 " nineteenths" + 3 " nineteenths" = 13" nineteenths"$

...or maybe a picture will help:
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