Visual Model for Adding, Subtracting of Fractions Visual Subtraction of Fractions examples

1. Find 34-24 $3/4 - 2/4$

Solution:
We will use fraction circles

34 $(3)/(4)$

34 $3/4$

3 parts of

14 $1/4$

24 $(2)/(4)$

24+14 $2/4 + 1/4$

- 2 parts of

14 $1/4$

1 parts of

14 $1/4$

So,

34-24=14 $(3)/(4) - (2)/(4)=1/4$

2. Find 34-56 $3/4 - 5/6$

Solution:
We will use fraction circles

Here, LCM of 4 and 6 is 12. Convert each fractions into like fractions. So multiply numerator and denominator by the ratio of LCM and denominator of the fraction

34=3×34×3=912 $(3)/(4)=(3xx3)/(4xx3)=(9)/(12)$

56=5×26×2=1012 $(5)/(6)=(5xx2)/(6xx2)=(10)/(12)$

912 $(9)/(12)$

912 $9/12$

9 parts of

112 $1/12$

1012 $(10)/(12)$

1012 $10/12$

- 10 parts of

112 $1/12$

-112 $-1/12$

Answer is negative

Directly simplify fraction expression (without model)

=34-56 $=(3)/(4) - (5)/(6)$

LCM of

4,6 $4,6$ is

12 $12$

Step-1: Prime factorization of

4,6 $4,6$ using factor by division method

2	4
2	2
	1

2	6
3	3
	1

Step-2: Write each number as a product of primes, matching primes vertically when possible

4	=	2	× 2
6	=	2		× 3

Step-3: Bring down the primes in each column. The LCM is the product of these factors

4	=	2	× 2
6	=	2		× 3

LCM	=	2	× 2	× 3	= 12

$:.$ LCM of

$4,6$ is

$12$

$=(3 xx 3)/(4 xx 3) - (5 xx 2)/(6 xx 2)$ (Change into equivalent fractions with the LCD 12)

$=(9)/(12) - (10)/(12)$ (Simplify the numerators and denominators)

$=(9 - 10)/(12)$

$=(-1)/(12)$

3. Find $1 3/4 - 1 2/4$

Solution:
We will use fraction circles

$1(3)/(4)$

$3/4$

7 parts of

$1/4$

$1(2)/(4)$

1	$2/4 + 1/4$

- 6 parts of

$1/4$

1 parts of

$1/4$

So,

$1 (3)/(4) - 1 (2)/(4)=1/4$

4. Find $1 1/4 - 2/3$

Solution:
We will use fraction circles

Here, LCM of 4 and 3 is 12. Convert each fractions into like fractions. So multiply numerator and denominator by the ratio of LCM and denominator of the fraction

$1 (1)/(4)=1 (1xx3)/(4xx3)=1 (3)/(12)$

$(2)/(3)=(2xx4)/(3xx4)=(8)/(12)$

$1(3)/(12)$

$3/12$

15 parts of

$1/12$

$(8)/(12)$

$8/12 + 4/12$

$3/12$

- 8 parts of

$1/12$

$7/12$

$4/12$

$3/12$

7 parts of

$1/12$

So,

$1 (1)/(4) - (2)/(3)=7/12$

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here

2. Visual Subtraction of Fractions examples