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:**

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**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.

The 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}