DIVIDING MIXED NUMBERS

About "Dividing mixed numbers"

Dividing mixed numbers :

At the initial level learning fractions, it will be difficult for some students to divide a mixed number by another mixed number.

We can easily divide a mixed number by another mixed number using the method explained below.

Dividing mixed numbers - Steps

Step 1 :

When we divide a mixed number by another mixed number, first we have to change both mixed numbers as improper fractions .

Step 2 :

Now we have to write the first fraction as it is, change the division sign as multiplication and write the reciprocal of second fraction.

Step 3 :

If it is possible we can simplify the numerator and denominators using times table. Other wise multiply the the two fractions. (Numerator times numerator and denominator times denominator).

Step 4 :

If the answer is in the form of improper fraction, then we have to convert that improper fraction into mixed fraction.

Dividing mixed fractions  - Examples

Example 1 :

Simplify the following

Solution :

Step 1 :

To convert any mixed fraction into improper fraction, first we have to multiply the denominator by the integer part and add result with the numerator.

=  47/5 ÷ 4/3

Keep the denominator as it is.

Step 2 :

Now we have to write the first fraction as it is, change the division sign as multiplication and write the reciprocal of second fraction.

=  (47/5) x (3/4)

Step 3 :

By multiplying these two fractions we get,

=  (47 x 3)/(5 x 3) ==> 141/15

Step 4 :

Now, we have to change this improper fraction into mixed fraction.

By simplifying the given mixed numbers, we get 9  6/15.

Example 2 :

Simplify the following

Solution :

=  (73/12) ÷ 21/5

=  (73/12) x (5/21)

=  (73 x 5)/(12 x 21)

=  365/252 ==> 1  112/252

Example 3 :

Simplify the following

Solution :

=  (31/10) ÷ (11/4)

=  (31/10) x (4/11)

=  (31 x 4)/(10 x 11)

=  (31 x 2)/(5 x 11)

=  62/55 ==> 1  7/55

After having gone through the stuff given above, we hope that the students would have understood "Dividing mixed fractions".

Apart from the stuff given above, if you want to know more about "Dividing mixed fractions", 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

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