Answer:
[tex]\frac{4}{15}+\:\frac{1}{2}[/tex] in the simplest term is:
[tex]\frac{4}{15}+\frac{1}{2}=\frac{23}{30}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{4}{15}+\:\frac{1}{2}[/tex]
Thus, solving to reduce to the simplest term
[tex]\frac{4}{15}+\frac{1}{2}[/tex]
LCM of 15, 2: 30
Adjusting fraction based on the LCM
so the expression becomes
[tex]\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]=\frac{8+15}{30}[/tex]
Add the numbers: 8+15 = 23
[tex]=\frac{23}{30}[/tex]
Therefore, [tex]\frac{4}{15}+\:\frac{1}{2}[/tex] in the simplest term is:
[tex]\frac{4}{15}+\frac{1}{2}=\frac{23}{30}[/tex]
