Answer:
To divide fractions, we can use the reciprocal (or multiplicative inverse) of the second fraction and then multiply the two fractions.
So to solve ⅚ ÷ ⅔, we can write it as:
⅚ ÷ ⅔ = ⅚ × (⅔)⁻¹
where (⅔)⁻¹ is the reciprocal of ⅔, which is 3/2.
So we have:
⅚ ÷ ⅔ = ⅚ × (⅔)⁻¹ = ⅚ × 3/2
We can simplify this expression by canceling out a common factor of 2 in the numerator and denominator:
⅚ ÷ ⅔ = ⅚ × (⅔)⁻¹ = ⅚ × 3/2 = (⅚ × 3) / 2 = 9/12
Therefore, another way to solve ⅚ ÷ ⅔ is the equation:
⅚ ÷ ⅔ = 9/12