To find the quotient Two-fifths divided by one-fourth,
multiply 2/5 by 4.
multiply 2/5 by One-fourth.
multiply Five-halves by 1/4.
multiply Five-halves by 4.

Option a: multiply by 4.

Explanation:

The expression is

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

Hence, is the quotient.

Option a: multiply by 4.

To determine the quotient, let us multiply the term by 4, we get,

Hence,   is the quotient.

Thus, Option a is the correct answer.

Option b: multiply by

To determine the quotient, let us multiply the term by 4, we get,

is not the quotient. Since, the quotient is which is not equivalent to and hence we cannot multiply by

Hence, Option b is not the correct answer.

Option c: multiply by

To determine the quotient, let us multiply the term by , we get,

is not the quotient. Since, the quotient is which is not equivalent to and hence we cannot multiply by

Hence, Option c is not the correct answer.

Option d: multiply by 4

To determine the quotient, let us multiply the term by 4, we get,

10 is not the quotient. Since, the quotient 10 which is not equivalent to and hence we cannot multiply by 4.

Hence, Option d is not the correct answer.