Fraction Calculator
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How to Use the Fraction Calculator
Master fraction operations with step-by-step solutions
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Reduce fractions to their lowest terms automatically
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Fraction Calculator FAQ
How do you add fractions with different denominators?
To add fractions with different denominators, first find the Least Common Multiple (LCM) of the denominators. Then convert each fraction to an equivalent fraction with the common denominator, add the numerators, and simplify the result. For example, 1/4 + 1/3: the LCM of 4 and 3 is 12, so 3/12 + 4/12 = 7/12.
How do you simplify a fraction to its lowest terms?
To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by the GCD. For example, 8/12: the GCD of 8 and 12 is 4, so 8÷4 = 2 and 12÷4 = 3, giving the simplified fraction 2/3. A fraction is in lowest terms when the GCD of the numerator and denominator is 1.
How do you convert a decimal to a fraction?
To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 (depending on decimal places), then simplify. For example, 0.75 = 75/100. Simplify by dividing both by 25: 3/4. For repeating decimals, the process involves algebra — 0.333... = 1/3.
What is a mixed number and how do you convert it?
A mixed number combines a whole number and a proper fraction, like 2 3/4. To convert it to an improper fraction: multiply the whole number by the denominator, add the numerator, and keep the denominator. For 2 3/4: (2×4)+3 = 11, so the improper fraction is 11/4. To convert back: divide the numerator by the denominator — the quotient is the whole number and the remainder is the new numerator.
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal (flip) of the second fraction. For example, 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8. Then simplify the result if possible. Remember: never divide by a fraction equal to zero, as the denominator of the reciprocal would be zero.