Subtracting Mixed Numbers
Fractions which are more than a whole are known as mixed fractions or mixed numbers.
For instance: Nicholas has 3 chocolates, and each chocolate has 3 bars. He eats 7 bars of chocolate, which means 2 whole chocolates and 1 bar of the third chocolate.
Real life examples of Subtracting mixed numbers:
How to Subtracting mixed numbers?
Case 1: Subtracting mixed numbers with same denominators
Follow the given steps to subtract mixed numbers with same denominators:
Step 1 Subtract the wholes.
Step 2 Convert the fractions into improper fractions.
Step 3 Subtract the fraction.
Step 4 Change the improper fraction into a mixed number if needed.
Step 5 Write the mixed number with wholes and the fraction.
Example 1: 5 ^{7}⁄_{3}  3 ^{2}⁄_{3}
Step 1  Subtract 3 from 5.
5  3 =2
Step 2  Subtract the fractions:
^{7}⁄_{3}  ^{2}⁄_{3}
Step 3  Write the fraction with whole.
5 ^{7}⁄_{3}  3 ^{2}⁄_{3 }= 2 ^{5}⁄_{3}
Case 2: Subtracting mixed numbers with different denominators
Follow the given steps to subtract mixed numbers with different denominators:
Step 1 Convert the mixed numbers into improper fractions.
Step 2 Find the common multiple of both the denominators.
Step 3 Convert the fractions as common denominators.
Step 4 Solve the fractions.
Step 5 Convert the fraction as a mixed number.
Example 2: 6 ^{1}⁄_{2}  1 ^{3}⁄_{4}
Step 1 Convert the mixed numbers into improper fractions.
1 ^{3}⁄_{2}  ^{7}⁄_{4}
Step 2 Find the common multiple of both the denominators 2 and 4.
Common multiple of 2 and 4 is 4.
Step 3 Convert the fractions as common denominators.
Step 4 Solve the fractions
^{ 26}⁄_{4}  ^{7}⁄_{4} = ^{19}⁄_{4}
Step 5 Convert the fraction as a mixed number.
^{ 19}⁄_{4} = 4 ^{3}⁄_{4}
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