To divide by a fraction, you multiply by its reciprocal. The reciprocal of a fraction [tex]\( \frac{a}{b} \)[/tex] is [tex]\( \frac{b}{a} \)[/tex].
Here, the fraction is [tex]\( \frac{4}{10} \)[/tex]. The reciprocal of [tex]\( \frac{4}{10} \)[/tex] is [tex]\( \frac{10}{4} \)[/tex].
Thus, the expression [tex]\( 2 \div \frac{4}{10} \)[/tex] can be rewritten as:
[tex]\[
2 \times \frac{10}{4}
\][/tex]
So, [tex]\(\frac{10}{4}\)[/tex] is the reciprocal of [tex]\(\frac{4}{10}\)[/tex].
