Question 1

How do you add fractions?

Accepted Answer

To add fractions, you need a common denominator. Find the Least Common Denominator (LCD) of both fractions, convert each fraction to an equivalent fraction with that denominator, then add the numerators. For example: 1/3 + 1/4. LCD = 12. Convert: 4/12 + 3/12 = 7/12. If the denominators are already the same, just add the numerators directly.

Question 2

How do you subtract fractions?

Accepted Answer

Subtracting fractions follows the same process as addition. Find the LCD, convert both fractions to that denominator, then subtract the second numerator from the first. Example: 3/4 − 1/3. LCD = 12. Convert: 9/12 − 4/12 = 5/12. Always simplify the result if possible.

Question 3

How do you multiply fractions?

Accepted Answer

Multiplying fractions is straightforward: multiply the numerators together and multiply the denominators together. Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. You can simplify before or after multiplying. Cross-simplification (canceling common factors between numerators and denominators of different fractions before multiplying) can make the arithmetic easier.

Question 4

How do you divide fractions?

Accepted Answer

To divide fractions, multiply the first fraction by the reciprocal (flip) of the second fraction. This is often remembered as 'keep, change, flip' — keep the first fraction, change the operation to multiplication, flip the second fraction. Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

Question 5

How do you simplify a fraction?

Accepted Answer

To simplify (reduce) a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by that number. Example: 12/18. GCD(12, 18) = 6. 12/6 = 2, 18/6 = 3. Simplified: 2/3. A fraction is fully simplified (in lowest terms) when the GCD of the numerator and denominator is 1.

Question 6

How do you convert a decimal to a fraction?

Accepted Answer

To convert a decimal to a fraction: (1) Count the decimal places. (2) Write the decimal digits as the numerator. (3) Use 10, 100, 1000, etc. (based on decimal places) as the denominator. (4) Simplify. Example: 0.75 = 75/100. GCD(75, 100) = 25. Simplified: 3/4. For repeating decimals, the process is more complex and involves algebra.

Question 7

What is an improper fraction?

Accepted Answer

An improper fraction is one where the numerator is greater than or equal to the denominator — for example, 7/4 or 5/5. Improper fractions are perfectly valid and are often easier to work with in calculations. They can be converted to mixed numbers: 7/4 = 1 and 3/4 (one whole and three quarters). This calculator always returns results as improper fractions when the result is greater than 1, with the decimal equivalent shown as well.

Question 8

Is this fraction calculator free?

Accepted Answer

Yes — completely free, no account required. All calculations happen instantly in your browser with full step-by-step solutions shown. No data is stored or sent anywhere. Bookmark it for quick fraction math whenever you need it.

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