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### Grade 6 - Mathematics6.4 Subtraction of Mixed Numbers

#### Subtraction with two Mixed Numbers

Method 1:
Subtract the integer parts and the fraction parts separately and then add the results.
Examples:
1. 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. 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
3. 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:
1. 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
2. 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.
 Q 1: 6 2/3 - 3 4/5 =2 13/153 11/154 12/15 Q 2: 8 3/6 - 4 2/6 =4 1/34 1/63 1/6 Q 3: 5 1/3 - 3 2/3 =3 1/22 1/31 2/3 Q 4: 5 3/4 - 1 7/8 =3 7/82 5/83 6/8 Q 5: 2 1/8 - 5/8 =1 2/61 4/81 2/8 Q 6: 32 - 15 5/9 =15 4/613 4/616 4/9 Q 7: 2 6/8 - 5/8 =1 1/82 1/83 1/6 Q 8: 6 1/3 - 2 1/3 =3 1/34 1/34 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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