Answer:
g=[tex]\frac{23}{16}[/tex]
Step-by-step explanation:
To begin you want to isolate the g. So you add [tex]\frac{5}{4}[/tex] to both sides. On the left is cancels out so it looks like this:
[tex]\frac{3}{16} +\frac{5}{4} =g[/tex]
Next, you find the Least Common Denominator (LCD) which is 16. And since one fraction already has a denominator of 16 you leave it as it is. The other fraction, however, needs to be multiplied (both top and bottom) by 4 to get the denominator (bottom) to 16. So:
[tex]\frac{3}{16} +(\frac{5}{4}*\frac{4}{4} ) =g[/tex]
Multiplying it out you get:
[tex]\frac{3}{16} +\frac{20}{16} =g[/tex]
Lastly, just add across:
[tex]\frac{3+20}{16} =\frac{23}{16}[/tex]
You're done!
[tex]g=\frac{23}{16}[/tex]
