The result of the expression
is 12.
To multiply or divide the expression
, we can follow these steps:
Multiply the numerator and denominator of the first fraction by 2 to make the division easier.
Perform the multiplication and division.
The expression can be rewritten as:
![[6 * \left((3)/(4)\right) / \left((3)/(8)\right) = 6 * \left((3 * 2)/(4 * 2)\right) / \left((3)/(8)\right) = 6 * \left((6)/(8)\right) / \left((3)/(8)\right)]](https://img.qammunity.org/2024/formulas/mathematics/high-school/7hrwy78smou7cozcn3iqr4t5a41w6ag1c3.png)
Now, we can perform the division:
![[6 * \left((6)/(8)\right) / \left((3)/(8)\right) = 6 * \left((6)/(8) / (3)/(8)\right) = 6 * \left((6)/(8) * (8)/(3)\right) = 6 * (48)/(24) = 6 * 2 = 12]](https://img.qammunity.org/2024/formulas/mathematics/high-school/dgvehnpde7yej072x0vjphg4azcw96lfc0.png)
Therefore, the result of the expression
is 12.
Complete question:
Multiply or divide as indicated. Write answers in lowest terms as needed. 6(3/4)/(3/8)