# Simplify this expression: #[(6-3/5)xx(1/4+2/9-5/12)+3/2xx(9/2-7/4-5/2)]xx2/27+1/4 #?

Identify the individual terms and then simplify them separately

Within the first term, shown in blue, simplify each bracket separately.

Now cancel where possible

Multiply straight across to get:

Now add the two terms together,

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Step 1:

Step 2:

multiply

Step 3:

We add the product

Step 4:

multiply

Step 5:

We add the product (again :v)

The summary is:

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The simplified expression is ( \frac{5}{3} ).

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