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**Mixed Number: **Mixed number commonly known as a mixed fraction is a mathematical expression that comprises a whole number as well as a fraction.

For example:

3\frac{1}{2},4\frac{4}{7},5\frac{8}{9}There are basically three parts of a mixed fraction: whole number, numerator and denominator.

For example: Consider the mixed fraction 7\frac{{23}}{{37}}

Here, 7 is the whole number and \frac{{23}}{{37}} is a fraction. 23 is the numerator and 37 is the denominator.

It is the other representation form of improper fraction.

There are mainly two types of fractions:

**Proper fraction:**A fraction is called proper fraction when numerator is less than denominator. These types of fractions are always less than 1.

For example: \frac{7}{{10}}

Here 7 (numerator) is less than 10 (denominator). So, this is termed as proper fraction.

**Improper fraction:**In a fraction, when numerator is greater than denominator it is known as improper fraction. These types of fractions are always greater than 1.

For example: \frac{7}{3}

Here 7 (numerator) is greater than 3 (denominator). So, it is an improper fraction.

Only an improper fraction can be converted into a mixed number and vice versa.

Follow these steps to convert improper fraction into a mixed number.

**Step 1**: Divide numerator by denominator. Here numerator becomes dividend and denominator become divisor (d).

**Step 2**: Make a note of quotient (q) and reminder (r).

**Step 3**: Now, your mixed number is q\frac{r}{d}

Let’s practice it with the help of an example:

**Problem: Convert **** \frac{{18}}{7} ****into mixed number **

**Step1: **Taking 18 as dividend and 7 as divisor, perform the division.

**Step 2: **On dividing 18 / 7, quotient is 2 and remainder is 4.

**Step 3: ** So your mixed fraction is 2\frac{4}{7}

This can also be written as 2+\frac{4}{7} where 2 is the whole number and \frac{4}{7} is the fraction part.

A mixed number can only be converted into an improper fraction. Here are the steps.

**Step1: ** Multiply the whole number part of the mixed number with the denominator.

**Step2**: Now add the numerator to the product received in step 1.

**Step3**: Now the number received in step 2 will become your new numerator of the fraction. The denominator will remain the same.

**Problem: Convert 5\frac{8}{7} ****into mixed number **

Here 5 is the whole number, 8 is the numerator and 7 is the denominator.

**Step1: **Multiply the whole number with numerator.

5 x 7 = 35

**Step2: **Add 8 (numerator) and 35 (answer of step 1)

8 + 35 = 43

**Step3: **Your fraction becomes ** \frac{{43}}{7} **

Mixed fractions hold a very significant role in our daily lives. It’s easier for us to say that we have eaten ** 1\frac{3}{4} ** apples rather than saying ** \frac{7}{4} **apples.

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