Question

How do you convert $5.25$ into a mixed number?

Answer 1

Here in this question, we have to convert the given number into a mixed number, mixed number is nothing but mixed fraction. The given number is in the form of a decimal number, we will convert this decimal number into a fraction by multiplying and dividing by 100 and then we convert into a mixed fraction.

Complete step by step explanation: The given question $5.25$ is in the form of decimal, the decimal number contains the two part one is whole number part and other is fraction part.
The point in the decimal number known as the decimal point is the number which is present after the decimal point is the fraction part. Now consider the number $5.25$

Now multiply and divide the number by 100 and we get
$\Rightarrow \dfrac{{5.25}}{{100}} \times 100$

Therefore, we have

$$\Rightarrow \dfrac{{5.25 \times 100}}{{100}} \\\ \Rightarrow \dfrac{{525}}{{100}} \\\$$

Now we will apply the division so we have

If we divide the number 525 by 100. When 100 is multiplied by 5, the product is 500. On subtracting 500 from 525 the remainder will be 25. The number 25 can’t be divided by 100.

The number 25 is kept as it is.

The solution is written as $5\dfrac{{25}}{{100}}$

Here 100 is a divisor, 525 is a dividend, 5 is the quotient and 25 is the remainder

The mixed fraction further more simplified and it is written as $5\dfrac{1}{4}$

The divisor 100 is divided by the 25.

Therefore, the mixed number of 5.25 is $5\dfrac{1}{4}$

Note: The number can be converted from one form to another by applying some rule. We can convert the decimal number into fraction form and vice-versa. The decimal number is converted to fraction by multiplying and dividing the given number by 10 or 100 or 1000. it is based on the number present after the decimal point.