What is $\dfrac{10}{4}$ as a mixed number?
Answer
597.6k+ views
Hint: The given fraction is in the form of an improper fraction, that is, the denominator is less than the numerator. So, in order to convert it into a mixed number or a mixed fraction, we will first divide the numerator by the denominator and get the required quotient and reminder. Once, we have the divisor, quotient and remainder, we can write our required mixed fraction.
Complete step-by-step solution:
We have the fraction as $\dfrac{10}{4}$. We can convert it into a mixed number in the following steps:
At first, we will divide the numerator by the denominator and the integer obtained in our quotient will be the integer of our mixed number.
So, on dividing $10$ by $4$ , we get the integral quotient as $2$.
Then, the denominator of the mixed fraction will be equal to the denominator of the original fraction which is equal to $4$.
And lastly, we will divide the numerator by the denominator and the integer obtained as our remainder will be the numerator of our mixed number.
Thus, on dividing $10$ by $4$, we get the integral remainder as $2$.
Therefore, our mixed number will be equal to:
$=2\dfrac{2}{4}$
Hence, $\dfrac{10}{4}$ as a mixed number is equal to $2\dfrac{2}{4}$ .
Note: If we proceeded by finding the simplest form of the given fraction. In that case, we would get $2\dfrac{1}{2}$ as the answer and not $2\dfrac{2}{4}$. These two terms are collectively termed as mixed equivalent fraction. This is because despite having different representations, both of them have the same quantitative value. And if not mentioned in the question, we should always calculate the original value.
Complete step-by-step solution:
We have the fraction as $\dfrac{10}{4}$. We can convert it into a mixed number in the following steps:
At first, we will divide the numerator by the denominator and the integer obtained in our quotient will be the integer of our mixed number.
So, on dividing $10$ by $4$ , we get the integral quotient as $2$.
Then, the denominator of the mixed fraction will be equal to the denominator of the original fraction which is equal to $4$.
And lastly, we will divide the numerator by the denominator and the integer obtained as our remainder will be the numerator of our mixed number.
Thus, on dividing $10$ by $4$, we get the integral remainder as $2$.
Therefore, our mixed number will be equal to:
$=2\dfrac{2}{4}$
Hence, $\dfrac{10}{4}$ as a mixed number is equal to $2\dfrac{2}{4}$ .
Note: If we proceeded by finding the simplest form of the given fraction. In that case, we would get $2\dfrac{1}{2}$ as the answer and not $2\dfrac{2}{4}$. These two terms are collectively termed as mixed equivalent fraction. This is because despite having different representations, both of them have the same quantitative value. And if not mentioned in the question, we should always calculate the original value.
Recently Updated Pages
Write any three differences between metals and nonmetals class 10 social science CBSE

Amit standing on a horizontal plane finds a bird flying class 10 maths CBSE

Two circles of radii 5 cm and 3 cm intersect at two class 10 maths CBSE

Solve the following i John and Jivanti together have class 10 maths CBSE

What is the relation between orthocenter circumcentre class 10 maths CBSE

Two plane mirrors are inclined at 70circ A ray incident class 10 physics CBSE

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

1 GB equals how many MB?

10 examples of evaporation in daily life with explanations

What is the full form of POSCO class 10 social science CBSE

Which is the hottest planet in the Solar system A Earth class 10 social science CBSE

Name any four life processes in living things class 10 biology CBSE

