$$420=3 \times { 10 }^{ 6 } \times { 10 }^{ -8 } \times 39 \times 12 \times N \times \frac{ 4 }{ 60 \times 2 }$$
$N = \frac{35000}{39} = 897\frac{17}{39} \approx 897.435897436$
$$420=3\times 10^{-2}\times 39\times 12N\times \frac{4}{60\times 2}$$
$$420=3\times \frac{1}{100}\times 39\times 12N\times \frac{4}{60\times 2}$$
$$420=\frac{3}{100}\times 39\times 12N\times \frac{4}{60\times 2}$$
$$420=\frac{117}{100}\times 12N\times \frac{4}{60\times 2}$$
$$420=\frac{351}{25}N\times \frac{4}{60\times 2}$$
$$420=\frac{351}{25}N\times \frac{4}{120}$$
$$420=\frac{351}{25}N\times \frac{1}{30}$$
$$420=\frac{117}{250}N$$
$$\frac{117}{250}N=420$$
$$N=420\times \frac{250}{117}$$
$$N=\frac{35000}{39}$$
Show Solution
Hide Solution
