Calcolatrice frazioni

Semplifica frazioni, converti tra frazioni e decimali e calcola percentuali.

Cos'e' Calcolatrice frazioni?

A fraction calculator performs mathematical operations with fractions, including addition, subtraction, multiplication, and division. Fractions represent parts of a whole and are fundamental to mathematics, cooking, construction, and many everyday calculations. Whether you're a student learning fraction arithmetic or a professional working with measurements, this calculator simplifies the process.

Working with fractions can be tricky, especially when denominators differ. Finding a common denominator, simplifying results, and converting between mixed numbers and improper fractions are skills that this calculator handles automatically. It also shows the step-by-step process, making it a valuable learning tool for students.

Formula

Addition: a/b + c/d = (ad + bc) / bd

Subtraction: a/b - c/d = (ad - bc) / bd

Multiplication: a/b × c/d = (a × c) / (b × d)

Division: a/b ÷ c/d = (a × c) / (b × d) [flip and multiply]

Simplify by dividing numerator and denominator by their GCD

Come Calcolare

Select the operation (add, subtract, multiply, or divide).
Enter the first fraction (numerator and denominator).
Enter the second fraction.
View the result in simplified form.
Check the step-by-step solution for learning purposes.

Esempio

Adding 2/3 + 1/4: Find common denominator (12). 2/3 = 8/12, 1/4 = 3/12. 8/12 + 3/12 = 11/12. Multiplying 3/5 × 2/7: (3×2)/(5×7) = 6/35. Dividing 4/5 ÷ 2/3: 4/5 × 3/2 = 12/10 = 6/5 = 1 1/5.

Vantaggi Principali

Add subtract multiply divide fractions step by step
Convert between improper mixed and decimal
Simplified lowest terms automatically
Error-free for homework cooking woodworking

Errori Comuni da Evitare

Sommare senza denominatore comune
Non ridurre ai minimi termini
Allineamento errato dei numeri misti

Consigli Pro

Converti numeri misti in impropri prima di moltiplicare
Trova mcm per sommare più facilmente
Verifica con conversione decimale

Termini Chiave Spiegati

Numerator: Top parts selected
Denominator: Bottom total parts
Improper Fraction: Numerator larger than denominator
Least Common Multiple: Smallest shared multiple

Quando Usare Questo Calcolatore

Seguire misure di ricette
Aiuto compiti sulle frazioni
Misure edili

Casi d'Uso Comuni

Solving math homework problems with fractions
Adjusting recipe measurements (doubling, halving)
Calculating material cuts in construction and woodworking
Converting between fractions and decimals

Domande Frequenti

How do I add fractions with different denominators?

Find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, then add the numerators while keeping the denominator the same.

What's the difference between a proper and improper fraction?

A proper fraction has a numerator smaller than the denominator (e.g., 3/4). An improper fraction has a numerator equal to or larger than the denominator (e.g., 7/4). Improper fractions can be converted to mixed numbers.

How do I simplify a fraction?

Divide both the numerator and denominator by their greatest common divisor (GCD). For example, 8/12 simplifies to 2/3 by dividing both by 4.

Strumenti Correlati