Question

Factor 3/4 out of 3/4z + 6

Answer 1

we will do factor 3/4 out of 3/4z + 6

we have 3/4 z+6= 3/4 z+ 3/4x8= 3/4(z+8)

we have done
Have a good day

Answer 2

ANSWER

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$


EXPLANATION

We want to factor
$\frac{3}{4}$
out of

$\frac{3}{4} z + 6$

The first term is already having a factor of
$\frac{3}{4}$
The constant term which is the second term is not having a factor of
$\frac{3}{4}$
so we need to use a trick of multiplying and dividing by the same factor to obtain,



$\frac{3}{4} z + 6 = \frac{3}{4} z + \frac{3}{4} \times \frac{6}{ \frac{3}{4} }$


We can now factor
$\frac{3}{4}$
out of the right hand side to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + \frac{6}{ \frac{3}{4} } )$
Let us rewrite the right most fraction using the normal division symbol.

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \div \frac{3}{4} )$




We simplify to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \times \frac{4}{3} )$



This further gives us,


$\frac{3}{4} z + 6 = \frac{3}{4} (z + 2 \times 4 )$



$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$