Mixed Numbers Calculator
Simplify Fractions
Decimal to Fraction
Fraction to Decimal
Big Number Fractions
Fraction Calculator
The Fraction Calculator below offers multiple functions including addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. The fields above the solid black line represent the numerator, while those below represent the denominator.
Fraction Operations:
- Addition: Fractions need a common denominator to be added. One method is to multiply the numerators and denominators of all fractions involved by the product of the other fractions' denominators. This ensures the new denominator is a multiple of each fraction's denominator. Then, the numerators are multiplied by appropriate factors to maintain the fraction's value. The calculator will simplify the fraction automatically after performing the addition. Example: 34+16=3×64×6+1×46×4=1824+424=2224=1112\frac{3}{4} + \frac{1}{6} = \frac{3 \times 6}{4 \times 6} + \frac{1 \times 4}{6 \times 4} = \frac{18}{24} + \frac{4}{24} = \frac{22}{24} = \frac{11}{12}43+61=4×63×6+6×41×4=2418+244=2422=1211
- Subtraction: Fraction subtraction is similar to addition. A common denominator is required, and the numerator values are adjusted accordingly. Example: 34−16=3×64×6−1×46×4=1824−424=1424=712\frac{3}{4} - \frac{1}{6} = \frac{3 \times 6}{4 \times 6} - \frac{1 \times 4}{6 \times 4} = \frac{18}{24} - \frac{4}{24} = \frac{14}{24} = \frac{7}{12}43−61=4×63×6−6×41×4=2418−244=2414=127
- Multiplication: To multiply fractions, simply multiply the numerators and denominators. The result forms a new fraction, and the solution should be simplified if possible. Example: 34×16=3×14×6=324=18\frac{3}{4} \times \frac{1}{6} = \frac{3 \times 1}{4 \times 6} = \frac{3}{24} = \frac{1}{8}43×61=4×63×1=243=81
- Division: To divide fractions, multiply the first fraction by the reciprocal (flipping the numerator and denominator) of the second fraction. Then, simplify the result. Example: 34÷16=34×61=184=92\frac{3}{4} \div \frac{1}{6} = \frac{3}{4} \times \frac{6}{1} = \frac{18}{4} = \frac{9}{2}43÷61=43×16=418=29
- Simplification: Simplifying fractions is important for easier manipulation and understanding. To simplify, divide both the numerator and denominator by their greatest common factor. Example: 220440=12\frac{220}{440} = \frac{1}{2}440220=21
Conversion Between Fractions and Decimals:
- Decimal to Fraction: Converting decimals to fractions is simple. Each decimal place represents a power of 10. For example, 0.1234 means the 4 is in the 10,000th place, giving us the fraction 123410000\frac{1234}{10000}100001234, which simplifies to 6175000\frac{617}{5000}5000617.
- Fraction to Decimal: Converting fractions to decimals is equally straightforward. For example, 12\frac{1}{2}21 can be written as 0.5, and 5100\frac{5}{100}1005 is 0.05.
Mixed Numbers:
- Mixed Numbers Calculator: This tool can help add, subtract, or simplify mixed numbers, which include both a whole number and a fraction.
Big Number Fractions:
- Big Number Fraction Calculator: For working with large numerators or denominators, this calculator allows you to add, subtract, multiply, and divide fractions with very large numbers.
Additional Information:
A fraction consists of a numerator (the number of equal parts we have) and a denominator (the total number of equal parts). Fractions are fundamental in mathematics, representing parts of a whole. For instance, in the fraction 38\frac{3}{8}83, 3 is the numerator, and 8 is the denominator. When performing operations on fractions, understanding how to find common denominators and simplify the results is key.en the best way to achieve your goals.
