Question

BRAILIEST !!!!!!

Answer 1

Option a: multiply $\frac{2}{5}$ by 4.

Explanation:

The expression is $\frac{2}{5} \div \frac{1}{4}$

Dividing the two fractions which is the same as multiplying the first fraction by the reciprocal value of the second fraction.

Hence, it can be written as

$\frac{2}{5} \times \frac{4}{1}=\frac{8}{5}$

Hence, $\frac{8}{5}$ is the quotient.

Option a: multiply $\frac{2}{5}$ by 4.

To determine the quotient, let us multiply the term $\frac{2}{5}$ by 4, we get,

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

Hence,  $\frac{8}{5}$ is the quotient.

Thus, Option a is the correct answer.

Option b: multiply $\frac{2}{5}$ by $\frac{1}{4}$

To determine the quotient, let us multiply the term $\frac{2}{5}$ by 4, we get,

$\frac{2}{5} \times \frac{1}{4}=\frac{1}{10}$

$\frac{1}{10}$ is not the quotient. Since, the quotient is $\frac{1}{10}$ which is not equivalent to $\frac{8}{5}$ and hence we cannot multiply $\frac{2}{5}$ by $\frac{1}{4}$

Hence, Option b is not the correct answer.

Option c: multiply $\frac{5}{2}$ by $\frac{1}{4}$

To determine the quotient, let us multiply the term $\frac{5}{2}$ by $\frac{1}{4}$, we get,

$\frac{5}{2} \times\frac{1}{4}=\frac{5}{8}$

$\frac{5}{8}$ is not the quotient. Since, the quotient is $\frac{5}{8}$ which is not equivalent to $\frac{8}{5}$ and hence we cannot multiply $\frac{5}{2}$ by $\frac{1}{4}$

Hence, Option c is not the correct answer.

Option d: multiply $\frac{5}{2}$ by 4

To determine the quotient, let us multiply the term $\frac{5}{2}$ by 4, we get,

$\frac{5}{2} \times4=10$

10 is not the quotient. Since, the quotient 10 which is not equivalent to $\frac{8}{5}$ and hence we cannot multiply $\frac{5}{2}$ by 4.

Hence, Option d is not the correct answer.

Answer 2

Answer:

2nd option thx you.

Step-by-step explanation: