Mixed to Improper Fractions Calculator

This Mixed to Improper Fractions Calculator helps you convert a mixed fraction into an improper fraction and shows the working clearly step by step. Multiply the whole number by the denominator, then add the numerator to get the new top number. Keep the denominator the same, and apply the negative sign if needed. It is a simple way to check answers, understand fraction conversion, and practise basic arithmetic step by step.

Step-by-step method

1. Setup: Identify the whole number, numerator, and denominator.
2. Multiply: Whole × denominator.
3. Add: Add the numerator to get the improper numerator.
4. Apply the sign: If the mixed number is negative, the improper fraction is negative.
5. Simplify: Reduce the fraction if possible.

Example: 4 1/2

Step 1 - Setup the problem.

In this problem: We convert 4 1/2 into an improper fraction.

Step 2 - Multiply the whole number by the denominator.

In this problem: Use the magnitude of the whole part: 4 × 2 = 8.

Step 3 - Add the numerator.

In this problem: 8 + 1 = 9 gives the (unsigned) improper numerator.

Step 4 - Apply the sign.

In this problem: The original mixed number is positive, so the improper fraction stays positive.

Step 5 - Simplify the fraction.

In this problem: This fraction is already in simplest form.

Final answer: 4 1/2 = 9/2

Example: -3 2/5

Step 1 - Setup the problem.

In this problem: We convert -3 2/5 into an improper fraction.

Step 2 - Multiply the whole number by the denominator.

In this problem: Use the magnitude of the whole part: 3 × 5 = 15.

Step 3 - Add the numerator.

In this problem: 15 + 2 = 17 gives the (unsigned) improper numerator.

Step 4 - Apply the sign.

In this problem: The original mixed number is negative, so the improper fraction is negative.

Step 5 - Simplify the fraction.

In this problem: This fraction is already in simplest form.

Final answer: -3 2/5 = -17/5