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Write a division problem such that the quotient is the same as 1/4 divided by 2/3

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Answer:

the answer is x = 1/3

Explanation:

To write a division problem such that the quotient is the same as 1/4 divided by 2/3, you can use cross-multiplication to find an equivalent expression:

1/4 ÷ 2/3 = x

To find x, you can multiply both sides of the equation by the product of the denominators of the fractions, which is 6:

6 * (1/4 ÷ 2/3) = 6 * x

Applying the distributive property, you get:

(1/4) * (3/2) ÷ (2/3) = 6 * x

Simplifying the left side, you get:

3/8 ÷ 2/3 = 6 * x

Dividing the numerator and denominator of the fraction on the left side by the most significant common factor of 3, you get:

3/8 ÷ 2/3 = (3/3) / (8/3) ÷ 2/3 = 1/3 ÷ 2/3

Finally, dividing the numerator and denominator of the fraction on the right side by the same most significant common factor of 2/3, you get:

1/3 ÷ 2/3 = 1/3 ÷ (2/3) / (3/3) = 1/3 ÷ 2/3 = x

So, the answer is x = 1/3.

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