Question

How do you factor and evaluate `\frac { 3} { 8} \times 33+ \frac { 3} { 8} \times 47`?

Answer 1

The value of this expression is `30`. See explanation.

Explanation:

To evaluate this expression you can use the distributive property:

`3/8xx33+3/8xx47=3/8xx(33+47)=3/8xx80=30`

Answer 2

`30`

Explanation:

Look for a `color(blue)"common factor"` in the 2 terms being summed.

`3/8" is common to both terms."` Therefore we can take it out as a factor.

`rArr3/8(33+47)larr"in factored form"`

Now evaluate the contents of the bracket and multiply the result by `3/8`

`rArr3/8xx80" is to be calculated"`

8 and 80 can both be divided by 8, so we can `color(blue)"cancel"` them

`3/cancel(8)^1xxcancel(80)^(10)/1=3xx10=30`