Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8} +\frac{3}{12} -\frac{2}{12}[/tex]
since this is all addition and subtraction, we can do the later fractions first that share a denominator. 3-2=1
[tex]\frac{3}{8} +\frac{1}{12}[/tex]
either you can multiply both bottoms together and the tops by the same like below:
[tex]\frac{3*12}{96} +\frac{8*1}{96}[/tex]
or you can find the smallest common multiple by checking the factors and adding what's missing:
8: 4*2 12: 4*3
so just need to multiply the denominators to 4*2*3 =24 and do the same to their tops
[tex]\frac{3*3}{24} +\frac{3*2}{24}[/tex] = [tex]\frac{9}{24} + \frac{6}{24}[/tex]
then just add
[tex]\frac{9}{24} + \frac{6}{24}[/tex] = [tex]\frac{15}{24}[/tex]
then you may need to simplify. identify any factors that are shared between top and bottom numbers = 3
[tex]\frac{15/3}{24/3} = \frac{5}{8}[/tex]
