# How to subtract fractions with mixed numbers

Subtraction of fractions simply means taking away one fraction from another fraction. Now fractions with mixed numbers are fractions with a whole number part and a fraction part. How to subtract fractions with mixed numbers. To subtract fractions with mixed numbers, follow the simple steps below.

## How to subtract fractions with mixed numbers

Fractions are easily subtracted when they have a common denominator. So in subtracting fractions with mixed numbers, follow the simple steps below

Step1: Convert the mixed numbers to improper fractions.

Step2: Write the equivalent fraction of the given fractions. This is to help get the fraction in a common denominator. The best way to find the LCM of a given fraction is to find the LCM of their denominators.

Step3: After converting the unlike denominators of the fractions to like denominators, subtract their numerators and take them over the common denominator.

Step4: simplify the fraction to get the answer.

Now that we know the steps involved, let’s go straight to looking at an example.

\text{Example 1: perform the operation}\space 2\frac{1}{3}-1\frac{1}{4}\\
Answer: \text{first convert the mixed numbers to improper fractions}\space =2\frac{1}{3}-1\frac{1}{4}=\frac{(2×3)+1}{3}-\frac{(1×4)+1}{4}=\frac{6+1}{3}-\frac{4+1}{4}=\frac{7}{3}-\frac{5}{4}\\ \text{Since the LCM of 4 and 3 is 12. Hence }\space \frac{7}{3}-\frac{5}{4}=\frac{(7×4)-(5×3)}{12}=\frac{28-15}{12}=\frac{13}{12}=1\frac{1}{12}

This is pretty good, right? Let’s look at another example.

\text{Example 2: perform the operation}\space5\frac{1}{6}-1\frac{10}{12}.\\
Answer: \text{first convert the mixed numbers to improper fractions}\space5\frac{1}{6}-1\frac{10}{12}=\frac{(5×6)+1}{6}-\frac{(1×12)+10}{12}=\frac{30+1}{6}-\frac{12+10}{12}=\frac{31}{6}-\frac{22}{12}\\
\text{Since the LCM of 6 and 12 is 12}\space\frac{31}{6}-\frac{22}{12}=\frac{(31×2)-(22×1)}{12}=\frac{62-22}{12}=\frac{40}{12}=3\frac{4}{12}


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