Fraction Calculator
Work with mixed numbers, simplify fractions, and convert between fractions and decimals with clear step-by-step explanations.
Simplified Fraction
5/6
Mixed Number
5/6
Decimal
0.833333
Step-by-step solution
- Convert the mixed numbers to improper fractions: 1/2 = 1/2, 1/3 = 1/3.
- Find a common denominator and add numerators: (1×3) + (1×2) over 6.
- Raw result: 5/6.
- Simplify the fraction to 5/6.
How to Use
- Choose a mode: arithmetic, simplify, decimal to fraction, or fraction to decimal.
- Enter your values. For arithmetic, you can use whole numbers plus numerators and denominators for mixed numbers.
- Pick an operation when solving arithmetic problems: add, subtract, multiply, or divide.
- Review the simplified fraction, mixed number, decimal output, and the worked steps below the calculator.
Frequently Asked Questions
How do you simplify a fraction?
Find the greatest common divisor of the numerator and denominator, then divide both by that number. The result is the fraction in lowest terms.
What is a mixed number?
A mixed number combines a whole number and a proper fraction, such as 2 1/3. It represents a value greater than one without using an improper fraction.
How do you convert a decimal to a fraction?
Write the decimal as a whole number over a power of 10, then simplify. For example, 0.75 becomes 75/100, which reduces to 3/4.
Why do fractions need a common denominator for addition and subtraction?
Fractions must represent equal-sized parts before you can combine them. A common denominator ensures both fractions are measured in the same unit.
How do you divide fractions?
Keep the first fraction, flip the second fraction, and multiply. This is often called multiplying by the reciprocal.