Question

How do you convert 4.3 into a fraction and percent?

Answer 1

Hint: We need to know the definition of fraction. In Maths, a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. That fraction is of the form \[\dfrac{a}{b}\] . The obtained fraction is multiplied by ‘100’ we get the percent and it is demoted by \[\% \] .

Complete step-by-step answer:
Given, 4.3 we convert this into fraction.
We can rewrite the given number as \[4.3 = 4 + 0.3\]
For the decimal number 0.3 we multiply and divide by 10 we get,
\[0.3 \to 0.3 \times \dfrac{{10}}{{10}} = \dfrac{3}{{10}}\] .
Similarly for 4 we multiply and divide by 10, we have
 \[4 \to 4 \times \dfrac{{10}}{{10}} = \dfrac{{40}}{{10}}\] .
So we have,
\[ \Rightarrow 4.3 = \dfrac{{40}}{{10}} + \dfrac{3}{{10}}\]
So taking LCM 10 on the right hand side of the equation,
 \[ \Rightarrow 4.3 = \dfrac{{40 + 3}}{{10}}\]
 \[ \Rightarrow 4.3 = \dfrac{{43}}{{10}}\] is the required fraction.
Now to find the percent multiply the obtained fraction with 100 we gat,
Percent \[ = \dfrac{{43}}{{10}} \times 100\]
 \[ = 43 \times 10\]
Percent \[ = 430\% \]
Thus the fraction form of 4.3 is \[\dfrac{{43}}{{10}}\] and percent is \[430\% \] .
So, the correct answer is “Thus the fraction form of 4.3 is \[\dfrac{{43}}{{10}}\] and percent is \[430\% \]”.

Note: Otherwise we can find the percent by simply multiplying 4.3 by 100 we get \[430\% \] . We need to be careful in the calculation part. We can directly solve these kinds of problems. Suppose we say that we need to convert 5.9 into fraction. All we need to do is multiply and divide by 10. We get \[\dfrac{{59}}{{10}}\] . If we have 2 decimal points we multiply and divide by 100. For example 5.96 can be written as \[\dfrac{{596}}{{100}}\] .