# PROPER AND IMPROPER FRACTIONS WORKSHEETS

## About "Proper and improper fraction worksheets"

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.

## Proper and improper fractions worksheets - Questions

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.

111315

## Proper and improper fractions worksheets - Solution

Question 1 :

What will be the general value of a proper fraction ?

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

Question 2 :

What will be the general value of an improper fraction ?

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.

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.

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.

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

Question 7 :

Write the following improper fraction as mixed numeral.

275 / 3

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

9123

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

2217

Question 9 :

Write the following as mixed numeral as improper fraction

3 2/5

Question 10 :

Write the following mixed numeral as improper fraction.

111315

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

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6