Step 1: Convert [tex]5 \frac{5}{14} [/tex] to an improper fraction. Use this rule [tex]a \frac{b}{c} = \frac{ac+b}{c} [/tex]
[tex]12+ \frac{7}{8} * \frac{5*14+5}{14}[/tex]
Step 2: Simplify 5 x 14 to 70
[tex]12+ \frac{7}{8}* \frac{70+5}{14}[/tex]
Step 3: Simplify 70 + 5 to 75
[tex]12+ \frac{7}{8}* \frac{75}{14} [/tex]
Step 4: Apply this rule: [tex] \frac{a}{b} * \frac{c}{d} = \frac{ac}{bd}[/tex]
[tex]12+ \frac{7*75}{8*14} [/tex]
Step 5: Simplify 7 x 75 to 525
[tex]12+ \frac{525}{8*14}[/tex]
Step 6: Simplify 8 x 14 to 112
[tex]12+ \frac{525}{112}[/tex]
Step 7: Simplify [tex] \frac{525}{112}[/tex] to [tex] \frac{75}{16} [/tex]
Step 8: Simplify
[tex]12 \frac{75}{16} [/tex]
Done! :) Decimal Form If Needed 16.6875