Question

What is the result of 8 2/8 - 6 5/8

Answer 1

$8 \frac{2}{8}-6 \frac{5}{8} \\ \\ 8 \frac{1}{4} - 6 \frac{5}{8} \ / \ simplify \\ \\ \frac{8 \times 4 + 1}{4} - 6 \frac{5}{8} \ / \ convert \ to \ improper \ fraction \\ \\ \frac{32+1}{4} 6 \frac{5}{8} \ / \ simplify \\ \\ \frac{33}{4} - 6 \frac{5}{8} \ / \ simplify \\ \\ \frac{33}{4} - \frac{48+5}{8} \ / \ simplify \\ \\ \frac{33}{4} - \frac{53}{8} \ / \ simplify \\ \\ LCD = 8 \ / \ least \ common \ denominator \\ \\ \frac{33 \times 2}{4 \times 2} - \frac{53}{8} \ / \ multiply$ 
$\frac{66}{8} - \frac{53}{8} \ / \ simplify \\ \\ \frac{66-53}{8} \ / \ combine \ denominators \\ \\ \frac{13}{8} \ / \ simplify \\ \\ 1 \frac{5}{8} \ / \ convert \ to \ mixed \ fraction \\ \\ Answer: \fbox {1 / 5/8} \ or \fbox {1.625}$

Answer 2

$8 \frac{2}{8} - 6\frac{5}{8} =\frac{(8\times8)+2}{8}-\frac{(6\times8)+5}{8}= \frac{64+2}{2}-\frac{48+5}{8}=\frac{66}{8}-\frac{53}{8} =\frac{13}{8}\\\\=\boxed{\bf{1\frac{5}{8}}}$