What is 3/5 2/3 and 0.65 from least to greatest
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 \(\frac{3}{5},0.65, \frac{2}{3}\)
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 \(\frac{3}{5},0.65, \frac{2}{3}\)