Question

Divide 1/4÷2/3 and express the answer in simplest terms. If necessary, use / for the fraction bar.

A)3/8
B)4/6
C)2/3
D)3/4

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Answer 1

To divide 1/4 by 2/3, you multiply 1/4 by the reciprocal of 2/3, which is 3/2. The resulting multiplication gives you 3/8, which is in simplest terms.

Step-by-step explanation:

To divide fractions, such as 1/4÷2/3, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/3 is 3/2. So, the equation becomes 1/4 × 3/2.

Now, let's solve the multiplication problem:

(1 × 3) / (4 × 2) = 3 / 8

Therefore, 1/4÷2/3 simplifies to 3/8, which is already in its simplest terms. Hence, the correct answer is A) 3/8.