Question

How do you write \[1\dfrac{1}{4}\] in a percent?

Answer 1

Hint: Here in this question, we have to convert the given number into percentage. The given number is in the form of fraction, to convert the fraction number into percentage we multiply the given fraction number into 100. And we represent the percentage number by the symbol %.

Complete step-by-step solution:
The fraction number has two parts one is the numerator which lies above the line and the other one is the denominator which lies below the line. Here the fraction is in the form of mixed fraction. let we convert the mixed fraction into improper fraction. so we have
\[ \Rightarrow 1\dfrac{1}{4} = \dfrac{5}{4}\]
Now we have to convert the fraction into percentage.
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
To convert the fraction into percentage we multiply the fraction into 100 and then simplify.
\[\dfrac{5}{4} \times 100\% \]
On simplifying we have
\[ \Rightarrow \dfrac{5}{1} \times 25\% \]
\[ \Rightarrow 125\% \]
Or we can also solve this first we multiply the 5 by 100 and then we divide it by 4.
So we have
\[\dfrac{{5 \times 100\% }}{4}\]
On simplification we have
\[ \Rightarrow \dfrac{{500}}{4}\% \]
So dividing the number 500 by 4 we have

Hence we have converted the fraction into percentage and obtained answer
So, the percentage of \[1\dfrac{1}{4} = 125\% \] is 46%.

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 %. We can convert the fraction number to decimal also.