Question

Simplify a/2b times bc/a

Answer 1

`(c)/(2)`

Explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

`(2x)/(x) = 2 \cdot (x)/(x) = 2 \cdot 1 = 2`

Applying this logic to the given expression:

`(a)/(2b) \cdot (bc)/(a)`

↓ simplify multiplication of fractions

`(a \cdot bc)/(2b \cdot a)`

↓ rewrite to align like variables

`(a \cdot b \cdot c)/(a \cdot b \cdot 2)`

↓ separate out variables that are divided by each other

`(a)/(a) \cdot (b)/(b) \cdot (c)/(2)`

↓ represent them as 1

`1 \cdot 1 \cdot (c)/(2)`

↓ rewrite without unnecessary 1's

`(c)/(2)`