CONVERTING IMPROPER FRACTIONS TO MIXED NUMBERS

Converting Improper Fractions to Mixed Numbers :

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

The picture given below illustrates how to convert an improper fraction into mixed number. 

Converting Improper Fractions to Mixed Numbers - Examples

Example 1 :

Write the following improper fraction as mixed number.

275 / 3

Solution : 

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 number which is equal to 275/3 is  

91 2/3

Example 2 :

Write the following improper fraction as mixed number.

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 number which is equal to 155/7 is 

22 1/7

Example 3 :

Write the following improper fraction as mixed number.

782 / 13

Solution : 

When we divide 782 by 13 as explained in the above picture, 13 goes into 782 by 60 times and we will have 2 left in 782.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 782/13 is 

60 2/13

Example 4 :

Write the following improper fraction as mixed number.

75 / 8

Solution : 

When we divide 75 by 8 as explained in the above picture, 8 goes into 75 by 9 times and we will have 3 left in 75.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 75/8 is 

9 3/8

Example 5 :

Write the following improper fraction as mixed number.

178 / 15

Solution : 

When we divide 178 by 15 as explained in the above picture, 15 goes into 178 by 11 times and we will have 13 left in 178.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 178/15 is 

11 13/15

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

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

You can also visit the following web pages on different stuff in math. 

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic 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