Mathematics: What is the equation for number 2? ?

What is the equation for number 2? ?

my7butterflies

11.11.2022

From least to greatest $\frac{3}{5},0.65, \frac{2}{3}$

Step-by-step explanation:

Given : Numbers $\frac{3}{5},\frac{2}{3},0.65$

To find : What is numbers from least to greatest ?

Solution :

Writing all numbers in one way i.e. in fraction.

$0.65=\frac{65}{100}=\frac{13}{20}$

Now to compare we have to make their denominator same.

So, Taking LCM of 5,3,20.

LCM(3,5,20)=60

Multiply and divide $\frac{3}{5}$ by 12

$\frac{3\times 12}{5\times 12}=\frac{36}{60}$

Multiply and divide $\frac{2}{3}$ by 20

$\frac{2\times 20}{3\times 20}=\frac{40}{60}$

Multiply and divide $\frac{13}{20}$ by 3

$\frac{13\times 3}{20\times 3}=\frac{39}{60}$

Comparing numerators,

36 <39 <40

i.e. $\frac{36}{60}<\frac{39}{60}< \frac{40}{60}$

$\frac{3}{5}<\frac{13}{20}< \frac{2}{3}$

$\frac{3}{5}<0.65< \frac{2}{3}$

Therefore, From least to greatest $\frac{3}{5},0.65, \frac{2}{3}$

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