How do you add fractions with different denominators?

To add fractions with different denominators, first find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, then add the numerators. For example, 1/3 + 1/4: LCD is 12, so 4/12 + 3/12 = 7/12.

How do you multiply two fractions?

To multiply fractions, multiply the numerators together and the denominators together. For example, 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. Always simplify the result to its lowest terms.

What is a mixed number and how do you convert it to a fraction?

A mixed number combines a whole number and a fraction, like 2½. To convert to an improper fraction, multiply the whole number by the denominator and add the numerator: 2½ = (2×2+1)/2 = 5/2.

How do you divide fractions?

To divide fractions, multiply the first fraction by the reciprocal (flip) of the second fraction. For example, 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

Fraction Calculator - Add, Subtract & Divide

How to use this calculator

Enter numerators and denominators for each fraction, then select an operation (+, −, ×, ÷). For mixed numbers, use the format 2 3/4. Click Calculate to see the simplified result, decimal equivalent, and step-by-step solution.

Fraction Calculator

Enter numerators (top) and denominators (bottom) for each fraction, then choose an operation.

Result

= 37/56 (mixed number)

Result in decimals: 0.6607142857

Show calculation steps

2/7 + 3/8

= 16/56 + 21/56

= 37/56

Mixed Numbers Calculator

Enter mixed numbers (e.g. -2 3/4), fractions (e.g. 3/7), or integers.

=27/28

Result

27/28

Improper fraction: 27/28

Decimal: 0.9642857143

Simplify Fractions Calculator

Enter a whole number (optional), numerator, and denominator to simplify to lowest terms.

Simplified Result

= 2 3/14

Decimal: 2.2142857143

Decimal to Fraction Calculator

Enter a decimal number to convert it to a simplified fraction.

Result

= 1 3/8

Fraction to Decimal Calculator

Enter a fraction to convert it to a decimal number.

=0.28571428571429

Result

0.28571428571429

Big Number Fraction Calculator

Use this calculator when numerators or denominators are very large integers.

Numerator 1

Numerator 2

Denominator 1

Denominator 2

Result

25038801576374168561390767033449/6648130263342672078999418254752

Mixed: 3 5094410786346152324392512269193/6648130263342672078999418254752

About Fractions

A fraction represents a part of a whole, consisting of a numerator (top number) and a denominator (bottom number). For example, in ³⁄₈, the numerator is 3 and the denominator is 8.

Adding and subtracting fractions requires a common denominator — find the least common multiple (LCM) of the denominators, convert each fraction, then add or subtract the numerators.

Multiplying fractions is straightforward: multiply numerators together and denominators together, then simplify. Dividing fractions means multiplying by the reciprocal of the divisor.

Simplification reduces a fraction to its lowest terms by dividing both numerator and denominator by their greatest common factor (GCF).

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Fraction Tips

→Always simplify your answer by dividing by the GCF.
→To add fractions, find the LCM of the denominators first.
→Dividing by a fraction = multiplying by its reciprocal.
→Mixed numbers like 2 3/4 equal 11/4 as an improper fraction.

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Full scientific calculator with trig, log, and memory functions.

In-Depth Guide

A Fraction Calculator is an indispensable online tool designed to simplify arithmetic operations involving fractions. It allows users to effortlessly add, subtract, multiply, and divide fractions, mixed numbers, and even whole numbers. The calculator automatically handles common denominators, reduces fractions to their simplest form, and converts improper fractions to mixed numbers, providing accurate and easy-to-understand results. This eliminates the tedious manual calculations and potential errors, making complex fraction problems accessible to students, educators, and professionals alike. Its intuitive interface guides users through each step, ensuring clarity and precision in every computation.

The Fraction Calculator operates by applying fundamental principles of fractional arithmetic. For addition and subtraction, it first finds the least common denominator (LCD) for the given fractions, converting them into equivalent fractions with the same denominator. Then, it performs the operation on the numerators while keeping the denominator constant. For multiplication, it simply multiplies the numerators together and the denominators together. Division involves inverting the second fraction (reciprocal) and then multiplying. Finally, the calculator simplifies the resulting fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), presenting the answer in its most reduced form, often as a mixed number if applicable.

Fractions are ubiquitous in daily life and various professional fields, making a Fraction Calculator highly practical. In cooking and baking, recipes often require adjusting ingredient quantities, which frequently involves fractions. Construction and carpentry rely on precise fractional measurements for materials and designs. Financial calculations, such as dividing profits or understanding stock shares, often involve fractional amounts. Furthermore, in academic settings, from elementary math to advanced engineering and physics, fractions are a foundational concept. This tool empowers users to confidently tackle these real-world scenarios, ensuring accuracy and saving valuable time in diverse applications.

Tips & Considerations

→Always simplify fractions to their lowest terms for easier understanding and comparison.

→When adding or subtracting fractions, ensure they share a common denominator before combining numerators.

→Remember that dividing by a fraction is equivalent to multiplying by its reciprocal.

→Convert mixed numbers to improper fractions before performing multiplication or division for simpler calculations.

→Double-check your input values to avoid errors, especially with complex fraction expressions.