**Writing a Mixed Number as an Improper Fraction :**

In this section, you will learn, how to write a mixed number as improper fraction.

The picture shown below illustrates how to write a mixed number as an improper fraction.

**Example 1 :**

Write the following mixed number as improper fraction.

**Solution : **

We have to do the following steps to write the given mixed number as improper fraction.

**Step 1 : **

Multiply the denominator 3 by the whole number 91.

Thus, we get 273

**Step 2 : **

Add this 273 to the numerator 2.

Thus, we get 275.

**Step 3 : **

Now, form a fraction with this 275 as numerator and 3 (denominator in the given mixed number) as denominator.

Therefore, the required improper fraction is 275/3.

**Example 2 :**

Write the following mixed number as improper fraction.

**Solution : **

We have to do the following steps to write the given mixed number as improper fraction.

**Step 1 : **

Multiply the denominator 7 by the whole number 22.

Thus, we get 154

**Step 2 : **

Add this 154 to the numerator 1.

Thus, we get 155.

**Step 3 : **

Now, form a fraction with this 155 as numerator and 7 (denominator in the given mixed number) as denominator.

Therefore, the required improper fraction is 155/7.

**Example 3 :**

Write the following mixed number as improper fraction.

**Solution : **

We have to do the following steps to write the given mixed number as improper fraction.

**Step 1 : **

Multiply the denominator 13 by the whole number 60.

Thus, we get 780

**Step 2 : **

Add this 780 to the numerator 2.

Thus, we get 782.

**Step 3 : **

Now, form a fraction with this 782 as numerator and 13 (denominator in the given mixed number) as denominator.

Therefore, the required improper fraction is 782/13.

**Example 4 :**

Write the following mixed number as improper fraction.

**Solution : **

We have to do the following steps to write the given mixed number as improper fraction.

**Step 1 : **

Multiply the denominator 8 by the whole number 9.

Thus, we get 72

**Step 2 : **

Add this 72 to the numerator 3.

Thus, we get 75.

**Step 3 : **

Now, form a fraction with this 75 as numerator and 8 (denominator in the given mixed number) as denominator.

Therefore, the required improper fraction is 75/8.

**Example 5 :**

Write the following mixed number as improper fraction.

**Solution : **

We have to do the following steps to write the given mixed number as improper fraction.

**Step 1 : **

Multiply the denominator 15 by the whole number 11.

Thus, we get 165

**Step 2 : **

Add this 165 to the numerator 13.

Thus, we get 178.

**Step 3 : **

Now, form a fraction with this 178 as numerator and 15 (denominator in the given mixed number) as denominator.

Therefore, the required improper fraction is 178/15.

- Rational numbers
- Write an improper fraction as a mixed number
- Write a mixed number as an improper fraction
- Comparing an ordering decimals
- Classifying rational numbers
- Representing division as a fraction
- Identifying opposites and absolute value of rational numbers
- Positive and negative rational numbers
- Rational numbers and opposites on a number line
- Absolute value of rational numbers
- Comparing and ordering rational numbers
- Equivalent fractions and decimals
- Ordering fractions and decimals

After having gone through the stuff given above, we hope that the students would have understood, how to write a mixed number as an improper fraction.

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