# How many 2/5 are in 1?

#### Understand the Problem

The question is asking how many times the fraction 2/5 fits into the whole number 1. This can be solved by dividing 1 by 2/5, which is equivalent to multiplying 1 by the reciprocal of 2/5 (which is 5/2). This will give us the quantity of 2/5 in 1.

The fraction $\frac{2}{5}$ fits into 1 a total of $\frac{5}{2}$ or $2 \frac{1}{2}$ times.

The fraction $\frac{2}{5}$ fits into 1 a total of $\frac{5}{2}$ or $2 \frac{1}{2}$ times.

#### Steps to Solve

1. Identify the operation
To find out how many times the fraction $\frac{2}{5}$ fits into the whole number 1, we need to divide 1 by $\frac{2}{5}$.

2. Set up the division
We can express the division as:
$$1 \div \frac{2}{5}$$

3. Multiply by the reciprocal
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{2}{5}$ is $\frac{5}{2}$. Therefore, we rewrite the division as:
$$1 \times \frac{5}{2}$$

4. Perform the multiplication
Now calculate the multiplication:
$$1 \times \frac{5}{2} = \frac{5}{2}$$

5. Convert to a mixed number (if needed)
The fraction $\frac{5}{2}$ can also be expressed as a mixed number:
$$\frac{5}{2} = 2 \frac{1}{2}$$

This means $\frac{2}{5}$ fits into 1 two and a half times.

The fraction $\frac{2}{5}$ fits into 1 a total of $\frac{5}{2}$ or $2 \frac{1}{2}$ times.