Add the following

Explanation

• Add the numerators and write the sum over the common denominator 8
  • \(\frac18 + \frac58 = \frac{1 + 5}{8}\)
• This fraction can be simplified
  • = \(\frac68\)
• To simplify, factor 6 as 2 • 3 and 8 as 2 • 4.  Then remove the common factor of 2 from the numerator and denominator
  • = \(\require{cancel} \frac{\cancel{2}^1 \cdot 3}{\cancel{2}_1 \cdot 4}\)
• Multiply the remaining factors in the numerator: 1 • 3 = 3.  Multiply the remaining factors in the denominator: 1 • 4 = 4
  • = \(\frac34\)