Subtracting Fractions Calculator

To subtract two fractions, they must first share a common denominator. If the denominators ($D_1$ and $D_2$) are different, you must find the least common denominator (LCD) to convert them. Once the denominators match, you simply subtract the second numerator ($N_2$) from the first numerator ($N_1$) while keeping the denominator constant: (N1 / D1) - (N2 / D2) = (N1 * D2 - N2 * D1) / (D1 * D2). Finally, the resulting fraction is reduced to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor.

Let us walk through subtracting 1/3 from 3/4. First, identify your numerators and denominators: Fraction 1 is 3/4 ($N_1 = 3, D_1 = 4$) and Fraction 2 is 1/3 ($N_2 = 1, D_2 = 3$). Because 4 and 3 are different, we find a common denominator, which is 12. Convert 3/4 by multiplying top and bottom by 3 to get 9/12. Convert 1/3 by multiplying top and bottom by 4 to get 4/12. Now, subtract the numerators: 9 - 4 = 5. Place this over the common denominator to arrive at the final simplified answer of 5/12.

Always double-check whether your inputs include whole numbers, as mixed numbers require conversion into improper fractions before subtraction. When dealing with mixed numbers directly, you can also subtract the whole number parts and the fraction parts separately, provided the first fraction is larger than the second. Finally, always verify if your final answer can be reduced further to ensure maximum accuracy.