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.