Question

Arrange the following in descending order: 1 2/3,2 3/4,3 4/5,4 5/6​

Answer 1

$\huge \bigstar\underline \mathfrak \red{QuesTion} :$

Arrange the following in descending order: 1 2/3,2 3/4,3 4/5,4 5/6

$\huge \bigstar \underline \mathfrak \red{AnswEr} :$

• As fractions are in mixed fractions . Firstly we will convert them in Improper fraction.

$\to \: 1 \frac{2}{3} = \frac{5}{3} \\ \to \: 2 \frac{3}{4} = \frac{11}{4} \\ \to3 \frac{4}{5} = \frac{19}{5} \\ \to4 \frac{5}{6} = \frac{29}{6}$

• Now the denomiatoes are not in same. so we should convert into like fractions.
• Lcm = 60

$\to \frac{5 \times 20}{3 \times 20} ,\frac{11 \times 15}{4 \times 15} ,\frac{19 \times 12}{5 \times 12} , \frac{29 \times 10}{6 \times 10}$

$\to \: \frac{100, \: 165 ,\: 228, \: 290}{60}$

By arranging in descending order,

$\to \: 4 \frac{5}{6} > 3 \frac{4}{5} > 2 \frac{3}{4} > 1 \frac{2}{3} .$