Skill: Subtract mixed numbers with like denominators

Explanation and Free Practice Resources

A mixed number represents the sum of a whole number and a fractional part, so subtracting mixed numbers with the same denominator involves finding the difference of quantities partitioned into equal-sized fractional units. When the minuend’s fractional part is smaller, one whole is regrouped as an equivalent fraction containing the denominator’s number of units; the denominator remains unchanged, and the result is expressed as a whole number or mixed number. This understanding supports fraction computation in measurement and later algebraic reasoning.

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Detailed Explanation: Subtract mixed numbers with like denominators

To subtract mixed numbers with like denominators:

Subtract the fractional parts.
Subtract the whole-number parts.
If the first fraction is smaller, regroup one whole as a fraction.

Example:

5\frac{1}{4}-2\frac{3}{4}

The fractional part $\frac{1}{4}$ is smaller than $\frac{3}{4}$ , so regroup one whole from $5$ .

Since $1$ whole equals $\frac{4}{4}$ :

5\frac{1}{4}=4\frac{5}{4}

Now subtract:

4\frac{5}{4}-2\frac{3}{4}

Subtract the fractions:

\frac{5}{4}-\frac{3}{4}=\frac{2}{4}

Subtract the whole numbers:

4-2=2

So,

5\frac{1}{4}-2\frac{3}{4}=2\frac{2}{4}

The denominator stays $4$ because the fractional pieces are fourths.

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Fraction Subtraction - Mixed (No Simplifying Answers) - No Changed Denominator

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