Respuesta :

3/5 = 9/15 = 36/60

2/3 = 10/15 = 40/60

0.65 = 65/100 = 13/20 = 39/60

Therefor, the answer is 3/5, 0.65, 2/3.





Answer:

From least to greatest [tex]\frac{3}{5},0.65, \frac{2}{3}[/tex]

Step-by-step explanation:

Given : Numbers [tex]\frac{3}{5},\frac{2}{3},0.65[/tex]

To find : What is numbers from least to greatest ?

Solution :

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

[tex]0.65=\frac{65}{100}=\frac{13}{20}[/tex]

Now to compare we have to make their denominator same.

So, Taking LCM of 5,3,20.

[tex]LCM(3,5,20)=60[/tex]

Multiply and divide [tex]\frac{3}{5}[/tex] by 12

[tex]\frac{3\times 12}{5\times 12}=\frac{36}{60}[/tex]

Multiply and divide [tex]\frac{2}{3}[/tex] by 20

[tex]\frac{2\times 20}{3\times 20}=\frac{40}{60}[/tex]

Multiply and divide [tex]\frac{13}{20}[/tex] by 3

[tex]\frac{13\times 3}{20\times 3}=\frac{39}{60}[/tex]

Comparing numerators,

36 <39 <40

i.e. [tex]\frac{36}{60}<\frac{39}{60}< \frac{40}{60}[/tex]

[tex]\frac{3}{5}<\frac{13}{20}< \frac{2}{3}[/tex]

[tex]\frac{3}{5}<0.65< \frac{2}{3}[/tex]

Therefore, From least to greatest [tex]\frac{3}{5},0.65, \frac{2}{3}[/tex]

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