Question

How do you convert $1.3$ into fraction and percent?

Answer 1

Hint: Here in this question, we have to convert the given number into fraction and percentage. The given number is in the form of decimal, to convert the decimal number to the fraction we multiply the given number by the multiples of $10$. And then to convert the fraction into percentage we multiply the given fraction into $100$.

Complete step by step solution:
The given number is of the form decimal. Now we have to convert this decimal number to a fraction. If we see the decimal number, after the decimal point there is $1$ number, so we have to multiply and divide the decimal by $10$.
For the conversion of decimal to fraction we multiply and divide the number by $10$. So, we have,
$\Rightarrow 1.3\times {\displaystyle \frac{10}{10}}$
By multiplying we get,
$\Rightarrow {\displaystyle \frac{13}{10}}$
Since there is no common factor between the numerator and the denominator, the fraction is already in its lowest terms. So, this can’t be simplified further.
Hence, the fraction for the given decimal expression $1.3$ is ${\displaystyle \frac{13}{10}}$.
Now we need to convert this fraction to percentage. For the conversion from fraction to percentage, we have to make the denominator of the fraction as $100$. So, we multiply and divide the fraction by $10$. So, we have,
$\Rightarrow {\displaystyle \frac{13}{10}}\times {\displaystyle \frac{10}{10}}$
$\Rightarrow {\displaystyle \frac{130}{100}}$
So, we get,
$\Rightarrow 130\mathrm{\%}$
Hence the percentage of the given decimal expression $1.3$ is $130\mathrm{\%}$.

Note:
The number can be converted from one form to the other form. For the conversion of numbers, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The percentage is represented by the symbol %.