Subtraction with two Mixed Numbers
Method 1:
Subtract the integer parts and the fraction parts separately and then add the results.
Examples:
 7 3/7  4 2/7 = ?
Subtracting the integer or whole parts, 7  4 = 3
subtracting the fractional parts, 3/7  2/7 = 1/7
= 3 1/7
 2 3/4  1 2/3 = ?
Subtracting the integer or whole parts, 2  1 = 1
Subtracting the fractional parts, 3/4  2/3
LCD of 4 and 3 is 12
3/4  2/3 = 9/12  8/12 = 1/12
Therefore, 2 3/4  1 2/3 = 1 1/12
 4 1/4  2 3/4 = ?
Here, the fraction 1/4 is less than 3/4.
Make the first fraction larger than the second fraction. Therefore, 4 1/4 = 3 5/4
(Borrow 1 whole from 4 wholes, leaving 3 wholes. Change the 1 whole to 4/4 = 1 and add it to 1/4. There for 4/4 + 1/4 = 5/4)
4 1/4  2 3/4 = 3 5/4  2 3/4
Subtracting the integer parts, 3  2 = 1
Subtracting the fractional parts, 5/4  3/4 = 2/4 = 1/2
Therefore, 3 5/4  2 3/4 = 1 1/2
Method 2:
Convert both mixed numbers into improper fractions and perform the subtraction.
Example:
2 2/3  1 1/3
= 8/3  4/3
= 4/3
Subtraction with a mixed number and a whole number
To subtract from a whole number, first convert the whole number to a mixed number.
Examples:
 5  2 1/8 = ?
Borrow 1 from the 5 wholes leaving 4 wholes. 8 is the denominator, therefore, 8/8 = 1
Thus, 5 = 4 8/8
5  2 1/8 = 4 8/8  2 1/8
= 2 7/8
 5 1/4  2 = ?
Subtract the integer parts or whole parts, 5  2 = 3
Therefore, 5 1/4  2 = 3 1/4
Directions: Solve the following problems. Also write at least 10 examples of your own.
