Answer:
The answer is 7/12.
Step-by-step explanation:
[tex]( \frac{2}{3} - \frac{1}{4} ) + ( \frac{1}{2} \times \frac{1}{3} )[/tex]
Solve the terms in the bracket first
That's find the LCM of the ones which are subtracting
LCM of 3 and 4 is 12
That's
[tex] \frac{2}{3} - \frac{1}{4} = \frac{8 - 3}{12} = \frac{5}{12} [/tex]
Next multiply the other terms in the other bracket
That's
[tex] \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} [/tex]
Add both results
That's
[tex] \frac{5}{12} + \frac{1}{6} [/tex]
Find the LCM
The LCM is 12
We get the final answer as
[tex] \frac{5}{12} + \frac{1}{6} = \frac{5 + 2}{12} = \frac{7}{12} [/tex]
Hope this helps you
