Example 1: Find the mixed fraction subtraction of 5 3/4 - 2 1/2.
Solution: Convert into improper fractions i.e 5 3/4 = 23/4 and 2 1/2 = 5/2
Denominators are unlike, make the denominator same by finding LCM of denominators. i.e 23/4 and 10/4
Subtract both fractions then convert into mixed fraction i.e 23/4 - 10/4 = 13/4 = 3 1/4
Mixed fraction subtraction of
5 3/4 - 2 1/2 = 3 1/4.
Example 2: Find the mixed fraction subtraction of 7 1/3 - 4 2/5.
Solution: Convert into improper fractions i.e 7 1/3 = 22/3 and 4 2/5 = 22/5
Denominators are unlike, make the denominator same by finding LCM of denominators.
i.e 110/15 and 66/15
Subtract both fractions and convert into mixed fraction
i.e 110/15 - 66/15 = 44/15 = 2 14/15
Mixed fraction subtraction of
7 1/3 - 4 2/5 = 2 14/15.
Example 3: Find the mixed fraction subtraction of 9 1/2 - 3 3/4.
Solution: Convert into improper fractions i.e 9 1/2 = 19/2 and 3 3/4 = 15/4
Denominators are unlike, make the denominator same by finding LCM of denominators.
i.e 38/4 and 15/4
Subtract both fractions and convert into mixed fraction
i.e 38/4 - 15/4 = 23/4 = 5 3/4
Mixed fraction subtraction of
9 1/2 - 3 3/4 = 5 3/4.
Example 4: Find the mixed fraction subtraction of 6 2/5 - 2 4/9.
Solution: Convert into improper fractions i.e 6 2/5 = 32/5 and 2 4/9 = 22/9
Denominators are unlike, make the denominator same by finding LCM of denominators. i.e 288/45 and 110/45
Subtract both fractions and convert into mixed fraction
i.e 288/45 - 110/45 = 178/45 = 3 43/45
Mixed fraction subtraction of
6 2/5 - 2 4/9 = 3 43/45.
Example 5: Find the mixed fraction subtraction of 8 3/4 - 5 1/3.
Solution: Convert into improper fractions i.e 8 3/4 = 35/4 and 5 1/3 = 16/3
Denominators are unlike, make the denominator same by finding LCM of denominators.
i.e 105/12 and 64/12
Subtract both fractions and convert into mixed fraction
i.e 105/12 - 64/12 = 41/12 = 3 5/12
Mixed fraction subtraction of
8 3/4 - 5 1/3 = 3 5/12.