**Proper and improper fractions worksheets :**

Worksheets on proper and improper fractions are much useful to the students who would like to practice problems on different types of fractions.

1. What will be the general value of a proper fraction ?

2. What will be the general value of an improper fraction ?

3. How is the numerator of a proper fraction to denominator of the same proper fraction ? Give an example.

4. How is the numerator of an improper fraction to denominator of the same improper fraction ? Give an example.

5. How is a mixed numeral expressed ?

6. Write the following improper fraction as mixed numeral.

**17/5**

7. Write the following improper fraction as mixed numeral.

**275/3**

8. Write the following improper fraction as mixed numeral.

**155/7**

9. Write the following as mixed numeral as improper fraction

**3 2/5**

10. Write the following mixed numeral as improper fraction.

**11 ^{13}⁄_{15}**

**Question 1 : **

What will be the general value of a proper fraction ?

**Answer : **

The general value of a proper fraction is "less than 1".

**Question 2 :**

What will be the general value of an improper fraction ?

**Answer : **

The general value of a proper fraction is "greater than or equal to 1"

The picture given below clearly illustrated this.

**Question 3 :**

How is the numerator of a proper fraction to denominator of the same proper fraction ? Give an example.

**Answer : **

The numerator of a proper fraction is always less than its denominator.

Example : 2/5

**Question 4 :**

How is the numerator of an improper fraction to denominator of the same improper fraction ? Give an example.

**Answer : **

The numerator of an improper fraction is always greater than its denominator.

Example : 9/5

**Question 5 :**

How is a mixed numeral expressed ? Give an example.

**Answer : **

A mixed numeral is always expressed as a whole number and a proper fraction. Always its value will be greater than or equal to 1.

Example : 5 2/3

**Question 6 :**

Write the following improper fraction as mixed numeral.

**17/5**

**Answer : **

**Question 7 :**

Write the following improper fraction as mixed numeral.

**275 / 3**

**Answer : **

When we divide 275 by 3 as explained in the above picture, 3 goes into 275 by 91 times and we will have 2 left in 275.

By using the method explained in the picture above, the mixed fraction or mixed numeral which is equal to 275/3 is

**91 ^{2}⁄_{3}**

**Question 8 :**

Write the following improper fraction as mixed numeral.

**155 / 7**

**Solution : **

When we divide 155 by 7 as explained in the above picture, 7 goes into 155 by 22 times and we will have 1 left in 155.

By using the method explained in the picture above, the mixed fraction or mixed numeral which is equal to 155/7 is

**22 ^{1}⁄_{7}**

**Question 9 :**

Write the following as mixed numeral as improper fraction

**3 2/5**

**Answer : **

**Question 10 :**

Write the following mixed numeral as improper fraction.

**11 ^{13}⁄_{15}**

**Solution : **

We have to do the following steps to write the given mixed numeral 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.

After having gone through the stuff given above, we hope that the students would have understood "Proper and improper fractions worksheets".

Apart from the stuff given above, if you want to know more about "Proper and improper fraction", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**