Daily Figures Edition No Sign-Up Free Forever Vol. XII — No. 204
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Mixed Number to Improper Fraction Calculator

Convert a mixed number into an improper fraction.

Improper fraction
Top-heavy form.
Details
Simplified
As a decimal
Mixed number
 
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How the Mixed Number to Improper Fraction Calculator Works

A mixed number like 2⅓ combines a whole number and a fraction. To write it as a single (improper) fraction, multiply the whole number by the denominator and add the numerator, keeping the same denominator: 2 × 3 + 1 = 7, so 2⅓ = 7⁄3.

Improper fractions — where the top is bigger than the bottom — are the form you need for multiplying and dividing fractions. The calculator also shows the simplified and decimal forms.

improper = (whole × denominator + numerator) over denominator

Frequently Asked Questions

How do you convert a mixed number to an improper fraction?

Multiply the whole number by the denominator, add the numerator, and put the result over the same denominator. 2⅓ = (2×3+1)⁄3 = 7⁄3.

What is an improper fraction?

A fraction whose numerator is greater than or equal to its denominator, like 7⁄3 — the “top-heavy” form.

Why convert to improper fractions?

They’re easier to multiply and divide, since you don’t have to deal with the whole-number part separately.

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