Question

A flower is 9 3/4 inches tall. In one week, it grew 1 1/8 inches. How tall is the flower at the end of the week? Write in simplest form

Answer 1

9 3/4 + 1 1/8 = 10 7/8

Answer 2

let's firstly convert the mixed fractions to improper fractions and then add them up.

$\bf \stackrel{mixed}{9\frac{3}{4}}\implies \cfrac{9\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{39}{4}}~\hfill \stackrel{mixed}{1\frac{1}{8}}\implies \cfrac{1\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{9}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{39}{4}+\cfrac{9}{8}\implies \stackrel{\textit{using and LCD of 8}}{\cfrac{(2)39~~+~~(1)9}{8}}\implies \cfrac{78+9}{8}\implies \cfrac{87}{8}\implies 10\frac{7}{8}$