Fractions Calculator
Type any fractions to calculate, simplify, or convert them instantly.
Arithmetic with Fractions
Steps to solve:
- Find the common denominator
- Convert fractions
- Add / subtract numerators
- Result
Simplify Fractions
Steps to solve:
- Find the GCD of numerator and denominator
- Divide both by GCD
- Write simplified fraction
- Result
Convert Between Fractions and Decimals
1. Fraction to Decimal
Steps to solve:
- Divide numerator by denominator
- Write the decimal
- (If needed) round to required places
- Result
2. Decimal to Fraction
Steps to solve:
- Count decimal places (n)
- Write as numerator over 10ⁿ
- Find GCD and simplify
- Result
Mixed Number Operations
1. Improper Fraction to Mixed Number
Steps to solve:
- Divide numerator by denominator (quotient = whole)
- Remainder becomes the new numerator
- Keep the same denominator
- Result
2. Mixed Number to Improper Fraction
Steps to solve:
- Convert the whole (if decimal) to a fraction
- Find a common denominator and add numerators
- Apply the whole's sign
- Result
FAQ: Calculating With Fractions
1. What is a fraction?
A fraction shows part of a whole. The numerator (top number) tells how many parts you have, and the denominator (bottom number) shows how many equal parts make one whole.
2. What are proper, improper, and mixed fractions?
Proper: numerator < denominator (e.g. 3/4)
Improper: numerator > denominator (e.g. 7/3)
Mixed number: whole number + fraction (e.g. 2 ⅓)
3. What does it mean to simplify a fraction?
Simplifying means making the fraction as small as possible while keeping the same value. To simplify a fraction, divide both the numerator and denominator by their highest common factor (HCF).
4. How do I multiply fractions?
Multiply the numerators together and the denominators together.
Example: 2/3 × 3/5 = 6/15 = 2/5
5. How do I divide fractions?
Flip the second fraction (find its reciprocal) and multiply.
Example: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8
6. How do I convert an improper fraction to a mixed number?
Divide the numerator by the denominator. The answer gives the whole number and the remainder forms the fraction.
Example: 7/3 = 2⅓
7. How do I convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, then add the numerator.
Example: 2⅓ = (2×3)+1 = 7/3
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