Perform the operation and simplify the answer fully.

To perform the operation ( frac{3}{2} div frac{7}{6} ), you can multiply by the reciprocal of the second fraction. Here’s how to do it step by step:

1. Rewrite the division as multiplication:

[

frac{3}{2} div frac{7}{6} = frac{3}{2} times frac{6}{7}

]

2. Multiply the fractions:

[

frac{3 times 6}{2 times 7} = frac{18}{14}

]

3. Simplify ( frac{18}{14} ) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

[

frac{18 div 2}{14 div 2} = frac{9}{7}

]

So, the answer is A) ( frac{9}{7} ). Great job on practicing! If you need more help, feel free to reach out.

To solve the expression ( frac{3}{2} div frac{7}{6} ), we need to multiply by the reciprocal of the second fraction. The reciprocal of ( frac{7}{6} ) is ( frac{6}{7} ).

Now we can rewrite the operation:

[

frac{3}{2} div frac{7}{6} = frac{3}{2} times frac{6}{7}

]

Now, multiply the numerators and the denominators:

[

frac{3 times 6}{2 times 7} = frac{18}{14}

]

Next, simplify ( frac{18}{14} ):

Both numbers can be divided by 2:

[

frac{18 div 2}{14 div 2} = frac{9}{7}

]

Thus, the simplified answer is:

A) ( frac{9}{7} )