Calculate: 83/1468 * 100/1

Expression: $\frac{83}{1468}\times \frac{100}{1}$

Apply the fraction rule $\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{83\times 100}{1468\times 1}$

Multiply the numbers: $ 1468\times 1=1468$

$=\frac{83\times 100}{1468}$

Factor the number: $ 100=4\times 25$

$=\frac{83\times 4\times 25}{1468}$

Factor the number: $ 1468=4\times 367$

$=\frac{83\times 4\times 25}{4\times 367}$

Cancel the common factor: $ 4$

$=\frac{83\times 25}{367}$

Multiply the numbers: $ 83\times 25=2075$

$=\frac{2075}{367}$