$$N = \frac { 5175 } { 3825 } + \frac { 10 } { 17 } \div \frac { 2 } { 9 }$$
$N=4$
$$N=\frac{23}{17}+\frac{\frac{10}{17}}{\frac{2}{9}}$$
$$N=\frac{23}{17}+\frac{10}{17}\times \frac{9}{2}$$
$$N=\frac{23}{17}+\frac{10\times 9}{17\times 2}$$
$$N=\frac{23}{17}+\frac{90}{34}$$
$$N=\frac{23}{17}+\frac{45}{17}$$
$$N=\frac{23+45}{17}$$
$$N=\frac{68}{17}$$
$$N=4$$
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$N≔4$
