Question

-2/5 by 3/10 In simplest form

Answer 1

To simplify the expression \(-\frac{2}{5} \div \frac{3}{10}\), you can multiply by the reciprocal of the second fraction.

So, it becomes:

\[
-\frac{2}{5} \times \frac{10}{3}
\]

Now, multiply the numerators and the denominators:

\[
= \frac{-2 \times 10}{5 \times 3} = \frac{-20}{15}
\]

Next, simplify \(-\frac{20}{15}\) by finding the greatest common divisor (GCD) of 20 and 15, which is 5.

Now, divide both the numerator and the denominator by 5:

\[
= \frac{-20 \div 5}{15 \div 5} = \frac{-4}{3}
\]

Thus, \(-\frac{2}{5} \div \frac{3}{10}\) in simplest form is:

\[
-\frac{4}{3}
\]