Subtract Fractions Calculator

How to Subtract Fractions

Subtracting fractions is an essential mathematical skill. Here's a comprehensive guide on how to subtract fractions and use our calculator:

Fraction Subtraction Formula

To subtract fractions \(\frac{a}{b} - \frac{c}{d}\), we use the following formula:

$$\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}$$

Where:

• \(a\) and \(c\) are numerators
• \(b\) and \(d\) are denominators

Calculation Steps

1. Find a common denominator (usually the least common multiple of the denominators).
2. Adjust the numerators based on the common denominator.
3. Subtract the numerators.
4. Simplify the resulting fraction if possible.

Example Calculation

Let's subtract \(\frac{3}{4}\) from \(\frac{5}{6}\):

1. Find the common denominator:

   LCM of 4 and 6 is 12

2. Adjust the numerators:

   \(\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}\)

   \(\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}\)

3. Subtract the numerators:

   \(\frac{10}{12} - \frac{9}{12} = \frac{1}{12}\)

4. The fraction \(\frac{1}{12}\) is already in its simplest form.

Visual Representation

This bar chart visually represents the subtraction of fractions 5/6 and 3/4, with the result 1/12.