Answer

Verified

373.2k+ views

**Hint:**First we will start by either converting all the numbers that are fractions to decimals or the decimals to the fractions and then arrange them in the above mentioned order. Then finally arrange them in order.

**Complete step by step solution:**

We will first convert the numbers to one common form. We can convert all the fractions to decimal or all the decimals to one fraction.

Here, we will convert all the numbers to the decimal form. So, we start by converting $ 2/3 $

Now here we multiply the numerator and denominator by $ 100 $ and then reduce the terms until they cannot be reduced any further.

\[\Rightarrow \dfrac{2}{3} = \left( {\dfrac{2}{3}} \right) \times \left( {\dfrac{{100}}{{100}}} \right) = \dfrac{{200}}{{300}} = 0.67\]

Now next we convert $ 3/5 $ into decimal.

Here also we multiply and divide by $ 2 $ and then reduce the term until they cannot be reduced any further.

\[\Rightarrow \dfrac{3}{5} = \left( {\dfrac{3}{5}} \right) \times \left( {\dfrac{2}{2}} \right) = \dfrac{6}{{10}} = 0.6\]

Hence, all the converted numbers are: $ 0.65,\,0.50,\,0.60,\,0.67 $ .

Now, we arrange these terms according to ascending order.

$\Rightarrow 0.5,\,0.6,\,0.65,\,0.67 $

These numbers can be arranged in their original form.

$\Rightarrow 0.5,\,\,\dfrac{3}{5},\,\,0.65,\,\,\dfrac{2}{3} $ .

**So, the correct answer is “ $ 0.5,\,\,\dfrac{3}{5},\,\,0.65,\,\,\dfrac{2}{3} $ ”.**

**Note**: A fraction explains how many parts of a whole. It is expressed by a top number that is the numerator and a bottom number that is the denominator. A decimal is a fraction where the denominator is a power of ten such as $ 10,100,1000 $ , etc and can be written with a decimal point.

Always be sure that all of the terms are of the same type while comparing them. When you convert a fraction to a decimal make sure you back trace the same term to check if you have reduced the term correctly. While reducing terms make sure you reduce by making the factors.

Recently Updated Pages

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

How do you find the critical points of yx2sin x on class 12 maths CBSE

How do you find the general solution to dfracdydx class 12 maths CBSE

Trending doubts

The provincial president of the constituent assembly class 11 social science CBSE

Gersoppa waterfall is located in AGuyana BUganda C class 9 social science CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The hundru falls is in A Chota Nagpur Plateau B Calcutta class 8 social science CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE