Question

The simplified form of $0.35$ is
A) \[\dfrac{7}{{20}}\]
B) \[\dfrac{4}{{20}}\]
C) \[\dfrac{{35}}{{100}}\]
D) None of the above

Answer 1

Hint: Here we have a decimal number, first we convert this decimal number to fraction. A fraction is of the form \[\dfrac{a}{b}\], where ‘a’ is the numerator and ‘b’ is the denominator. After that we can simplify the fraction by dividing the numerator and the denominator by a certain number to get the simplified form.

Complete step by step solution:
Given, \[0.35\]
Now we divide and multiply by 100.
That is
\[ \Rightarrow 0.35 = \dfrac{{0.35 \times 100}}{{100}}\]
\[ = \dfrac{{35}}{{100}}\]
But this is not the simplified form. Because we can divide the numerator and the denominator by 5.
\[ = \dfrac{{\left( {\dfrac{{35}}{5}} \right)}}{{\left( {\dfrac{{100}}{5}} \right)}}\]
\[ = \dfrac{7}{{20}}\].
So the simplified form of \[0.35\] is \[\dfrac{7}{{20}}\].
Hence the correct option is (A).

Note:
Suppose let’s say that they have asked us to convert 0.35 to percent. Then all we need to do is multiply that decimal number by 100, or multiply 100 to the simplified fraction form. That is
\[0.35 = 0.35 \times 100\]
\[0.35 = 35\% \]. We follow the same procedure for these kinds of problems.