Perform the operation and simplify the answer fully.

To perform the operation ( frac{2}{3} cdot frac{5}{4} ), you multiply the numerators together and the denominators together.

1. Multiply the numerators: ( 2 cdot 5 = 10 ).
2. Multiply the denominators: ( 3 cdot 4 = 12 ).

So, you get ( frac{10}{12} ).

Next, simplify ( frac{10}{12} ) by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

– Dividing the numerator: ( frac{10}{2} = 5 )

– Dividing the denominator: ( frac{12}{2} = 6 )

Thus, ( frac{10}{12} = frac{5}{6} ).

The correct answer is A) ( frac{5}{6} ).

To perform the operation ( frac{2}{3} cdot frac{5}{4} ), you multiply the numerators together and the denominators together:

1. Multiply the numerators: ( 2 cdot 5 = 10 )
2. Multiply the denominators: ( 3 cdot 4 = 12 )

So, you get:

[

frac{10}{12}

]

Now, simplify ( frac{10}{12} ) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

[

frac{10 div 2}{12 div 2} = frac{5}{6}

]

The final answer is ( frac{5}{6} ), which corresponds to option A.