Answer:
The result is [tex]\frac{9}{10}[/tex]
Step-by-step explanation:
Below are the steps to divide fractions:
Let's follow the above steps:
Steps 1, 2 and 3 can be done together.
[tex]\frac{3}{5}:\frac{2}{3} = \frac{3}{5}.\frac{3}{2}[/tex]
As you can see, we leave 1st fraction alone, change division sign (:) by multiplication sign (.), and flip 2nd fraction over.
Now, we can do steps 4 and 5...
[tex]\frac{3}{5}:\frac{2}{3} = \frac{3}{5}.\frac{3}{2} = \frac{3.3}{5.2} = \frac{9}{10}[/tex]
Finally, step 6, we cannot simplify the resulting fraction since both numerator and denominator have no common factors.
9 = 3 . 3
10 = 2 . 5
The quotient of 3/5 and 2/3 is 9/10 and this can be determined by using the arithmetic operations.
Given :
Number 1 - 3/5
Number 2 - 2/3
The following steps can be used to determined the quotient of 3/5 and 2/3:
Step 1 - First, divide 3/5 by 2/3.
[tex]=\dfrac{\dfrac{3}{5}}{\dfrac{2}{3}}[/tex]
Step 2 - Now, multiply 3/5 and 3/2.
[tex]=\dfrac{3}{5}\times \dfrac{3}{2}[/tex]
Step 3 - Multiply 3 and 3 in the above expression.
[tex]=\dfrac{9}{5\times 2}[/tex]
Step 4 - Multiply 5 and 2 in the above expression.
[tex]=\dfrac{9}{10}[/tex]
The quotient of 3/5 and 2/3 is 9/10 and this can be determined by using the arithmetic operations.
For more information, refer to the link given below:
https://brainly.com/question/3075170