Question

Simplify (1/2 + 1/6) x (1/2 - 1/3) *​

Answer 1

Answer:

1/9

Step-by-step explanation:

Operations done in parentheses come before multiplication by using the acronym for the order of expressions.  PEMDAS.

Let us simplify the operations in parentheses.

(1/2 + 1/6) = (3/6 + 1/6) = (4/6)

1/2 has been brought to the denominator of 6, so that it can be added to 1/6.  The LCM of 2 and 6, is 6.  

(1/2 - 1/3) = (3/6 - 2/6) = (1/6).

The LCM of the denominators 2 and 3 is 6.  Therefore, all fractions in the parentheses have 6 as the denominator.

Now, the multiplication symbol that exists between the two parentheses shouldn't be forgotten.

Therefore, we have:

4/6 x 1/6 = 4/36.

When we multiply fractions, we have to multiply the numerators of both fractions with each other and multiply the denominators of both fractions with each other.  

After we get the answer, we must check to see whether it is in the simplest form.

Now, both 4 and 36 can be divided by 4.

On dividing by 4, we get:

1/9.

Therefore, the answer is 1/9.

Answer 2

As per the data given in the question,

We have to determine the value of the expression given in the question,

As per question,

It is given that,

$(\frac{1}{2}+\frac{1}{6})\times (\frac{1}{2}-\frac{1}{3})$

So, for finding the value of the given expression, We need to apply the BODMAS rule

As per BODMAS rule,

B = Bracket

O - Of

D - Divide

M - Multiply

A - Addition

S - Subtraction

So, applying the above concept,

We will get the answer as,

$(\frac{1}{2}+\frac{1}{6})\times (\frac{1}{2}-\frac{1}{3})\\(\frac{3+1}{6})\times (\frac{3-2}{6}})\\(\frac{4}{6})\times (\frac{1}{6}})\\\frac{4}{36} \\\frac{1}{9}$

Hence, the value of the expression will be $\frac{1}{9}$.