Fraction Calculator

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

To simplify a fraction, divide both the numerator and denominator by their Greatest Common Divisor (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 fully simplified (in lowest terms) when the GCD of the numerator and denominator is 1.

To convert a decimal to a fraction, count the decimal places, write the decimal digits as the numerator and the appropriate power of 10 as the denominator, then simplify. For example, 0.75 has 2 decimal places, so it becomes 75/100. The GCD of 75 and 100 is 25, so 75/100 = 3/4.