Mixed Number To Improper Fraction Calculator

Work out mixed number to improper fraction instantly with clear inputs, formula shown and shareable results.

About Mixed Number To Improper Fraction Calculator

A mixed number w p/q means w + p/q. Writing the whole part over the same denominator gives (w·q + p)/q, the improper form.

Formula

Mixed to improper

w p/q = (w·q + p) / q

Worked example

With the default values below, Mixed Number To Improper Fraction Calculator returns Improper fraction of 17/5. Change any input above and every figure here is recalculated in your browser.

Inputs used

Whole number part: 3
Numerator: 2
Denominator: 5

Results

Improper fraction: 17/5
In lowest terms: 17/5
Decimal value: 3.40000000
Numerator: 17

Step by step

1Values used
2Mixed to improper
3Improper fraction= 17/5
4In lowest terms= 17/5
5Decimal value= 3.40000000
6Numerator= 17

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is 3 2/5 as an improper fraction?

(3 × 5 + 2)/5 = 17/5 = 3.4.

How do negatives work?

The minus applies to the whole mixed number, so −3 2/5 is −17/5, not −15/5 + 2/5.