logo for solving-math-problems.com
leftimage for solving-math-problems.com

Subtracting Mixed Numbers

by Dynasty
(Spring, TX - Houston, TX)











































Subtraction Arithmetic

Subtracting mixed numbers when:

1. the denominators of the two fractions are unlike denominators
2. it is necessary to borrow or create improper fractions

What is 14 1/3 minus 10 7/12 ?

Comments for Subtracting Mixed Numbers

Click here to add your own comments

Aug 17, 2013
Subtraction
by: Staff


Answer


Part I

(14 1/3) - (10 7/12)

it might be easier to think about these mixed numbers like this:

(14 + 1/3) - (10 + 7/12)


Subtraction of mixed numbers




convert each mixed number into an improper fraction


convert the first mixed number

14 1/3

convert the integer portion of the mixed number to an improper fraction whose denominator is the same as the denominator of the fraction

in this case, convert the 14 to a fraction whose denominator is 3

(14) * (3/3)

= (14/1) * (3/3)

= (14 * 3)/(1 * 3)

= 42/3

replace the 14 with 42/3, and then add the two fractions

14 1/3

= 42/3 + 1/3

= (42 + 1)/3

= 43/3



convert 14 1/3 to an improper fraction





-------------------------------------------------------------

Aug 17, 2013
Subtraction
by: Staff


-------------------------------------------------------------



Part II


convert the second mixed number

10 7/12

convert the integer portion of the mixed number to a fraction whose denominator is the same as the denominator of the fraction

in this case, convert the 10 to an improper fraction whose denominator is 12

(10) * (12/12)

= (10/1) * (12/12)

= (10 * 12)/(1 * 12)

= 120/12

replace the 10 with 120/12, and then add the two fractions

10 7/12

= 120/12 + 7/12

= (120 + 7)/12

= 127/12


convert 10 7/12 to an improper fraction





replace the mixed number 14 1/3 with the improper fraction 43/3, and replace the mixed number 10 7/12 with the improper fraction 127/12

(14 1/3) - (10 7/12)

= (43/3) - (127/12)



Replace the mixed numbers (14 1/3  and 10 7/12) with their equivalent improper fractions





-------------------------------------------------------------

Aug 17, 2013
Subtraction
by: Staff


-------------------------------------------------------------



Part III



the next step in the problem is to subtract the two improper fractions

(43/3) - (127/12)

since the two fractions have different denominators, the fractions must be changed so that both denominators are the same

change the improper fraction 43/3 to a fraction with the denominator of 12

(43/3) * (4/4)

= (43 * 4)/(3 * 4)

= (43 * 4)/(3 * 4)

= 172/12

replace the improper fraction 43/3 with the improper fraction 172/12

(43/3) - (127/12)

= (172/12) - (127/12)


Change the denominator of 43/3 to a denominator of 12




the two fractions now have the same denominator

subtract the two improper fractions

(172/12) - (127/12)

= (172 - 127)/12

= 45/12

= 15/4



Both fractions now have a common denominator







-------------------------------------------------------------

Aug 17, 2013
Subtraction
by: Staff

-------------------------------------------------------------



Part IV



Subtract the two improper fractions




convert the improper fraction to mixed number form:

15/4

= 15 ÷ 4

= 3 R 3

= 3 3/4


Convert the final answer (improper faction) to mixed number form






-------------------------------------------------------------

Aug 17, 2013
Subtraction
by: Staff


-------------------------------------------------------------



Part V


the final answer is:

45/12

or

3 3/4


Subtraction of mixed numbers - final answer









Thanks for writing.

Staff
www.solving-math-problems.com


Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com