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How do you write the sum of the number 48+14 as the product of their GCF and another sum?

1 Answer

Oct 24, 2016

$48 + 14 = 2 \times 31$ $48+14 = 2xx31$

Explanation:

$48 = 2 \times 2 \times 2 \times 2 \times 3$ $48 = color(red)(2)xx2xx2xx2xx3$
$14 = 2 \times 7$ $14 = color(red)(2)xx7$

$\Rightarrow GCF (14, 48) = 2$ $=> "GCF"(14, 48) = 2$

$48 + 14 = (2 \times 24) + (2 \times 7)$ $48+14 = (2xx24) + (2xx7)$

$= 2 \times (24 + 7)$ $=2xx(24+7)$

$= 2 \times 31$ $=2xx31$

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