How do you convert 2 3/4 to an improper fraction?

Multiply 2 by 4 to get 8, add 3, and keep denominator 4. The result is 11/4.

How do you convert 11/4 to a mixed number?

Divide 11 by 4. The quotient is 2 and the remainder is 3, so 11/4 becomes 2 3/4.

Can the mixed-number fraction part be improper?

No. In a mixed number, the fractional part should be proper, so the numerator must be less than the denominator.

Does the calculator reduce results?

The reverse mode shows a reduced fractional part when the remainder and denominator have a common factor.

Mixed Number to Improper Fraction Calculator

Convert mixed numbers to improper fractions and improper fractions back to mixed numbers with clear arithmetic steps.

Examples:

Mixed number

Convert mixed numbers and improper fractions

The English intent is usually a two-way converter: mixed number to improper fraction first, with the reverse improper fraction to mixed number mode close at hand.

w \frac{n}{d} = \frac{w \cdot d + n}{d}

Multiply the whole number by the denominator, add the numerator, and keep the same denominator.

Use the mixed-number mode for inputs like 2 3/4.
Use the reverse mode for improper fractions like 11/4.
Results stay as exact fractions, with reduced mixed-number form where it helps.

Examples

Input	Conversion	Result
2 3/4	(2 x 4 + 3) / 4	11/4
1 5/8	(1 x 8 + 5) / 8	13/8
11/4	x 2 + 3	2 3/4
9/2	x 4 + 1	4 1/2

A mixed number uses a whole part plus a proper fraction. An improper fraction has a numerator greater than or equal to the denominator.

Frequently Asked Questions

Sources and References

Calculations are based on the listed reference sources. Links open in a new tab.

Updated: June 2, 2026

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