Question

What is the equivalent fractions for 2 1/5 and 1 1/6 using 30 as the common denominator?

Answer 1

let's firstly convert the mixed fractions to improper fractions, and then we'll multiply one by the denominator of the other.

`\stackrel{mixed}{2(1)/(5)}\implies \cfrac{2\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{11}{5}}~\hfill \stackrel{mixed}{1(1)/(6)} \implies \cfrac{1\cdot 6+1}{6} \implies \stackrel{improper}{\cfrac{7}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{11}{5}*\cfrac{6}{6}\implies \boxed{\cfrac{66}{30}}\hspace{15em}\cfrac{7}{6}*\cfrac{5}{5}\implies \boxed{\cfrac{35}{30}}`