# How do you divide 1/10 -: 6/19?

Mar 29, 2016

Dividing by a fraction is the same thing as multiplying with the reciprocal of the fraction.

Thus, dividing

$\frac{1}{10} \div \frac{6}{19}$

is the same thing as multiplying

$\frac{1}{10} \times \frac{19}{6}$

Now, multiplying two fractions means multiplying the numerators and multiplying the denominators.

In total, we have:

$\frac{1}{10} \div \frac{6}{19} = \frac{1}{10} \times \frac{19}{6} = \frac{1 \times 19}{10 \times 6} = \frac{19}{60}$

Hope that this helped!