Answer:
Let us do the solution in this question using the LCD method.
To explain what is LCD, it means it is the LCM of both denominators, wherein
it is the smallest positive number that is divisible by both a and b.
[tex]\frac{1}{4} + \frac{7}{8}[/tex]
Do the LCD method by doing prime factorization.
Find the LCD of 4 and 8.
= 4 = 2 · 2
= 8 = 2 · 2 · 2
Multiply 2 · 2 · 2 to get the LCD.
= 2 · 2 · 2 = 8
Let us do the multiplying which is based on the LCD.
Multiply each of the numerator by the same amount needed to multiply its corresponding denominator so that it can be turn into 8.
= [tex]\frac{1\times2}{4\times2} + \frac{7}{8}[/tex]
= [tex]\frac{2}{8} + \frac{7}{8}[/tex]
= [tex]\frac{9}{8}[/tex]
Turn into a mixed number by dividing 9 by 8, which will give us the quotient of 1 (Whole Number), remainder of 1 (Numerator), and divisor of 8 (Denominator).
[tex]= \boxed{1\frac{1}{8}}[/tex]
Therefore, the final answer is [tex]\blue{1\frac{1}{8}}[/tex].
Hope it helps!
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