Question

express 3 1/5:5 1/3:6 2/3 in simplest form

Answer 1

Answer:

$\frac{4}{5} \: \frac{4}{3} \: \frac{5}{3}$

Step-by-step explanation:

There should be : sign between them.

Answer 2

$3 \frac{1}{5} : 5 \frac{1}{3} : 6 \frac{2}{3} \\ \frac{16}{5} : \frac{16}{3} : \frac{20}{3} \\ \\ In \: \: these \: \: fractions, \: \: the \: \: denominators \: \: are \: \: different. \\ So, \: \: Firstly, \: \: Let \: \: us \: \: find \: \: the \\ Least \: \: Common \: \: Denominator \: \: of \: \: the \: \: fractions. \\ \\ LCD \: ( \frac{16}{5} , \: \: \frac{16}{3} , \: \: \frac{20}{3} ) = 15 \\ \\ \frac{16 \times 3}{5 \times 3} = \frac{48}{15} \\ \\ \frac{16 \times 5}{3 \times 5} = \frac{80}{15} \\ \\ \frac{20 \times 5}{3 \times 5} = \frac{100}{15} \\ \\ \frac{48}{15} , \: \: \frac{80}{15} , \: \: \frac{100}{15} \\ \\ Now, \: \: As \: \: the \: \: denominators \: \: of \: \: the \: \: Fractions \\ are \: \: same, \: \: it \: \: can \: \: be \: \: written \: \: as \: \: ratio \\ \\ \frac{48}{15} : \frac{80}{15} : \frac{100}{15} \\ \\ 48 : 80 :100 \\ \large{\boxed{ \bf{12 : 20 : 25 }} }$