Question

How do you convert \[3\dfrac{7}{12}\] into a decimal and percent?

Answer 1

Hint: In fraction, Numerator is the number above the line and denominator is the number below the line.
The line that differentiates the numerator and denominator is called the division line.
To convert fraction into decimal, we have to divide the numerator with the denominator.

Complete step by step solution:
The given number is $3\dfrac{7}{12}$
Suppose the fraction number is in the following form
$N=a\dfrac{b}{c}$
Now compare the above standard mix fraction number with given number we get
$a=3$
$b=7$
And
$c=12$
To convert this fraction into decimal and percent we have to apply following main steps:
1. First convert this given fraction into an equivalent fraction.
2. Then divide the numerator with the denominator.
3. Mark the decimal wherever necessary and then we have to multiply the obtained decimal number with hundred to get the percent.
Now we can convert mix fraction number into equivalent fraction with the help of following formula:
$N=\dfrac{a\times c+b}{c}$
Now substitute the necessary values in above expression
$N=\dfrac{3\times 12+7}{12}$
After solving the above expression we get
$N=\dfrac{43}{12}$
Here,
Numerator is $43$
And denominator is $12$
Now divide the numerator with the denominator we get
$N=3.5833$
This is the required decimal number.
To convert this decimal number into percent we have to multiply it with$100$. So the number in percent is
$N=3.5833\times 100$
$\Rightarrow N=358.33%$
Hence, the required decimal number is
$N=3.5833$
And the number in percent is
$N=358.33%$

Note:
While converting fraction into decimal number students should be careful while dividing numerator with the denominator and it is also necessary to mark the decimal at the correct place so the final outcome would be correct.