How do you solve 2/y=10/60?

Jun 2, 2018

$y = 12$

Explanation:

$\frac{2}{y} = \frac{10}{60}$

method 1

invert the fractions

$\implies \frac{y}{2} = \frac{60}{10}$

$\implies y = \frac{60}{10} \times 2$

$\therefore y = 6 \times 2 = 12$

method 2

cancel the fractions and compare

$\frac{y}{2} = \frac{60}{10} = \frac{6}{1}$

note by multiplying the second denominator by 2 we get the first denominator

so

$y = 6 \times 2 = 12$

Jun 2, 2018

$y = 12$

Explanation:

Taking the reciprocal value then we get
$\frac{y}{2} = \frac{60}{10}$
so
$y = \frac{120}{10} = 12$