What is the quotient of 10÷2/5

? Simplify your answer if possible.

1 answer

To find the quotient of \( 10 \div \frac{2}{5} \), you can rewrite the division of a fraction as multiplication by its reciprocal.

So,

\[ 10 \div \frac{2}{5} = 10 \times \frac{5}{2} \]

Now, perform the multiplication:

\[ 10 \times \frac{5}{2} = \frac{10 \times 5}{2} = \frac{50}{2} \]

Now, simplify \(\frac{50}{2}\):

\[ \frac{50}{2} = 25 \]

Thus, the quotient of \( 10 \div \frac{2}{5} \) is \( \boxed{25} \).