Answer
Verified
479.4k+ views
Hint: To convert a decimal value to a fraction we need to observe the number of digits after the decimal point.
Complete step-by-step answer:
We have to multiply and divide the decimal value with a number which will be in the form of ${10^n}$, n value equals the number of digits after the decimal point. Then we simplify the fraction.
A) 0.60, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^2}$
$ \Rightarrow \dfrac{{0.60 \times 100}}{{100}} = \dfrac{{60}}{{100}} = \dfrac{3}{5}$
B) 0.05, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^2}$ $ \Rightarrow \dfrac{{0.05 \times 100}}{{100}} = \dfrac{5}{{100}} = \dfrac{1}{{20}}$
C) 0.75, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^2} = 100$$ \Rightarrow \dfrac{{0.75 \times 100}}{{100}} = \dfrac{{75}}{{100}} = \dfrac{3}{4}$
D) 0.18, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^2} = 100$ $ \Rightarrow \dfrac{{0.18 \times 100}}{{100}} = \dfrac{{18}}{{100}} = \dfrac{9}{{50}}$
E) 0.2, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^1} = 10$
$ \Rightarrow \dfrac{{0.2 \times 10}}{{10}} = \dfrac{2}{{10}} = \dfrac{1}{5}$
F) 0.066, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^3} = 1000$$ \Rightarrow \dfrac{{0.066 \times 1000}}{{1000}} = \dfrac{{66}}{{1000}} = \dfrac{{33}}{{500}}$
Note: Three steps we need to keep in mind while converting decimal numbers to fractions is:
I. Observe the number of digits after the decimal point.
II. Find a multiplication factor to multiply both denominator and numerator, to get a fraction.
III. Reduce the resulting fraction to its simplest form.
Complete step-by-step answer:
We have to multiply and divide the decimal value with a number which will be in the form of ${10^n}$, n value equals the number of digits after the decimal point. Then we simplify the fraction.
A) 0.60, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^2}$
$ \Rightarrow \dfrac{{0.60 \times 100}}{{100}} = \dfrac{{60}}{{100}} = \dfrac{3}{5}$
B) 0.05, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^2}$ $ \Rightarrow \dfrac{{0.05 \times 100}}{{100}} = \dfrac{5}{{100}} = \dfrac{1}{{20}}$
C) 0.75, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^2} = 100$$ \Rightarrow \dfrac{{0.75 \times 100}}{{100}} = \dfrac{{75}}{{100}} = \dfrac{3}{4}$
D) 0.18, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^2} = 100$ $ \Rightarrow \dfrac{{0.18 \times 100}}{{100}} = \dfrac{{18}}{{100}} = \dfrac{9}{{50}}$
E) 0.2, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^1} = 10$
$ \Rightarrow \dfrac{{0.2 \times 10}}{{10}} = \dfrac{2}{{10}} = \dfrac{1}{5}$
F) 0.066, here after decimal point we have 2 digits, So multiplying and dividing it with ${10^3} = 1000$$ \Rightarrow \dfrac{{0.066 \times 1000}}{{1000}} = \dfrac{{66}}{{1000}} = \dfrac{{33}}{{500}}$
Note: Three steps we need to keep in mind while converting decimal numbers to fractions is:
I. Observe the number of digits after the decimal point.
II. Find a multiplication factor to multiply both denominator and numerator, to get a fraction.
III. Reduce the resulting fraction to its simplest form.
Recently Updated Pages
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
One cusec is equal to how many liters class 8 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Differentiate between the Western and the Eastern class 9 social science CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
How do you graph the function fx 4x class 9 maths CBSE
Difference Between Plant Cell and Animal Cell
Which places in India experience sunrise first and class 9 social science CBSE
What is pollution? How many types of pollution? Define it
Distinguish between Conventional and nonconventional class 9 social science CBSE
Explain zero factorial class 11 maths CBSE