Question

Fraction and properties of addition 10 1/8+(3 5/8+2 7/8)

Answer 1

first off, we'd convert the mixed fractions to an "improper" one, and then get the LCD and add them up, recall PEMDAS, parentheses first though,


`\bf \stackrel{mixed}{10(1)/(8)}\implies \cfrac{10\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{81}{8}} \\\\\\ \stackrel{mixed}{3(5)/(8)}\implies \cfrac{3\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{29}{8}} \\\\\\ \stackrel{mixed}{2(7)/(8)}\implies \cfrac{2\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{23}{8}}\\\\ -------------------------------`


`\bf \cfrac{81}{8}+\left( \cfrac{29}{8}+\cfrac{23}{8} \right)\impliedby \begin{array}{llll} \textit{LCD for the }\\ \textit{parentheses is 8} \end{array}\implies \cfrac{81}{8}+\left( \cfrac{29+23}{8} \right) \\\\\\ \cfrac{81}{8}+\left( \cfrac{52}{8} \right)\implies \cfrac{81}{8}+\cfrac{52}{8}\impliedby \stackrel{LCD}{8}\implies \cfrac{81+52}{8} \\\\\\ \cfrac{133}{8}\implies 16(5)/(8)`