Write the below decimals as fractions in lowest terms.
A) 0.60
B) 0.05
C) 0.75
D) 0.18
E) 0.2
F) 0.066

Question

Write the below decimals as fractions in lowest terms.A) 0.60B) 0.05C) 0.75D) 0.18E) 0.2F) 0.066

Vedantu Content Team · Accepted Answer

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.

Write the below decimals as fractions in lowest terms.
A) 0.60
B) 0.05
C) 0.75
D) 0.18
E) 0.2
F) 0.066

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Write the below decimals as fractions in lowest terms.A) 0.60B) 0.05C) 0.75D) 0.18E) 0.2F) 0.066

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NCERT Book Solutions

Reference Book Solutions

Question Papers

Exams

Quick Links

Write the below decimals as fractions in lowest terms.
A) 0.60
B) 0.05
C) 0.75
D) 0.18
E) 0.2
F) 0.066