How do you find the fractional notation for the ratio of 490 to 413?

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Answer 1 · 2016-12-26T07:02:27

$\frac{490}{413} = \frac{70}{59}$ $490/413 = 70/59$

The ratio $490 : 413$ $490 : 413$ can be written as a fraction: $\frac{490}{413}$ $490/413$

But fractions (and ratios) should always be in the simplest form.

$\frac{490}{413}$ $490/413$

Find a common factor... But how can we do this?

By inspection, factors of $490$ $490$ include the following.
(There may be others)

$1, 2, 5, 7, 10, 14, 35, 49, 70, 490$ $1,2,5,7,10,14,35,49,70,490$

Of these, the following are definitely NOT factors of $413$ $413$ :
$2, 5, 10, 14, 35, 70, 490$ $2,5,10,14,35,70,490$

Check whether $7$ $7$ is a factor $413 \div 7 = 59$ $413 div7 = 59$
$59$ $59$ is a prime number, so that's it!

$\frac{490}{413} \frac{\div 7}{\div 7} = \frac{70}{59}$ $490/413 (div7)/(div7) =70/59$