Question

How do you convert $1.2$ into a percent and fraction?

Answer 1

Hint:
All the values which are in the form of $\dfrac{p}{q}$ are called fraction or rational numbers where $q \ne 0$. Fractions are divided into part one part is the numerator $\left( p \right)$ and other part is the denominator $\left( q \right)$.

Complete step by step solution:
Given that –
Decimal Value $1.2$
We know that when we remove decimal point then we get zeroes in the denominator of that number which are equal to the numbers which are present after decimal point in numbers so here we also do the same we will remove decimal point and we get the zeroes in the denominator
Now we will remove decimal point from $1.2$
Now we get one zero in the denominator, after that the fraction is $\dfrac{{12}}{{10}}$
Which is the desired value which we want by converting the given decimal value
Therefore the fraction of $1.2$ is the $\dfrac{{12}}{{10}}$.
Now we will change the $1.2$ into the Percent.
Now for changing in the form of percent we will use the converted fraction which we got in above solution.
Now we will multiply $\dfrac{{12}}{{10}}$ by $100$
$\dfrac{{12}}{{10}} \times 100 = 120\% $

Therefore the percentage form of $1.2$ is the $120\% $.

Note:
When we divide any number if the dividend is less than the divisor then we add zeros in the last of the dividend so we can divide easily and put a point before the quotient. For changing any decimal point value into percentage, first we have changed it into the fraction then by multiplying it with $100$ we get the percentage value.