Perform the operation and simplify the answer fully. 2/3 · 5/4
A) 5/6
B) 5/12
C) 10/12
D) 15/12
Perform the operation and simplify the answer fully.
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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.