4 divided by 2/5

What is $\frac{2}{5}$ divided by 4? 

(Express your answer in simplest form.)

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Dividing fractions might seem tricky at first, but with a simple rule, it becomes easy. In this problem, we’ll divide the fraction $\frac{5}{2}$ by the whole number 4 and express the answer in its simplest form.

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Explanation:
To divide a fraction by a whole number, follow this rule:

$$\frac{a}{b} \div c = \frac{a}{b \times c}$$

So,

$$\frac{5}{2} \div 4 = \frac{5}{2 \times 4} = \frac{5}{8}$$

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Answer:

$$\frac{5}{2}÷4=\boxed{{\displaystyle \frac{5}{8}}}$$

What is 4 divided by 2/5?

To divide 4 by 2/5, you multiply 4 by the reciprocal of 2/5, which is 5/2. So, 4 × 5/2 = 20/2 = 10.

Why do we multiply by the reciprocal when dividing fractions?

Dividing by a fraction is the same as multiplying by its reciprocal because it simplifies the operation and keeps the equation balanced.

What is the reciprocal of 2/5?

The reciprocal of 2/5 is 5/2. You simply swap the numerator and the denominator.

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