#8 evaluate the expression:\n\\frac{1}{8}+\\frac{3}{4}=

Explanation:

Step1: Find a common denominator

The denominators are (8) and (4). The least - common denominator (LCD) of (8) and (4) is (8). Rewrite (\frac{3}{4}) with a denominator of (8). Using the formula (\frac{a}{b}=\frac{a\times k}{b\times k}), where (b = 4), (k = 2), (a=3), we get (\frac{3}{4}=\frac{3\times2}{4\times2}=\frac{6}{8}).

Step2: Add the fractions

Now we have (\frac{1}{8}+\frac{6}{8}). When adding fractions with the same denominator (d) ((d = 8) here), we use the formula (\frac{m}{d}+\frac{n}{d}=\frac{m + n}{d}). So (\frac{1}{8}+\frac{6}{8}=\frac{1 + 6}{8}).

Step3: Calculate the sum

(1+6=7), so (\frac{1+6}{8}=\frac{7}{8}).

Answer:

(\frac{7}{8})