Question

Write your answer as a whole number, proper fraction or mixed number.
7
10
÷
2
5
10
7
​
÷
5
2
​

Answer 1

To solve the expression \( \frac{7}{10} \div \frac{2}{5} \), you multiply by the reciprocal of the second fraction.

The reciprocal of \( \frac{2}{5} \) is \( \frac{5}{2} \). Thus, we have:

\[
\frac{7}{10} \div \frac{2}{5} = \frac{7}{10} \times \frac{5}{2}
\]

Now, perform the multiplication:

\[
\frac{7 \times 5}{10 \times 2} = \frac{35}{20}
\]

Next, simplify \( \frac{35}{20} \) by finding the greatest common divisor (GCD) of 35 and 20, which is 5:

\[
\frac{35 \div 5}{20 \div 5} = \frac{7}{4}
\]

Now, \( \frac{7}{4} \) is an improper fraction. To convert it to a mixed number:

1. Divide 7 by 4, which gives 1 with a remainder of 3.
2. So, \( \frac{7}{4} = 1 \frac{3}{4} \).

Thus, the final answer is:

\[
\frac{7}{4} \text{ or } 1 \frac{3}{4}
\]