Equivalent Fractions Calculator

How to Calculate Equivalent Fractions

Equivalent fractions are fractions that represent the same value or portion of a whole, even though they may look different. Understanding equivalent fractions is crucial in mathematics, especially when comparing, adding, or subtracting fractions with different denominators.

Formula for Equivalent Fractions

The general formula to find equivalent fractions is:

$$\frac{a}{b} = \frac{a \times n}{b \times n}$$

Where:

• \(\frac{a}{b}\) is the original fraction
• \(n\) is any non-zero integer
• \(\frac{a \times n}{b \times n}\) is an equivalent fraction

Calculation Steps

1. Start with the original fraction \(\frac{a}{b}\).
2. Choose a non-zero integer \(n\).
3. Multiply both the numerator and denominator by \(n\).
4. The resulting fraction \(\frac{a \times n}{b \times n}\) is equivalent to the original fraction.

Example Calculation

Let's find equivalent fractions for $\frac{1}{2}$:

1. Start with 1/2.
2. Choose different values for n:
   • For n = 2: 1/2 × 2/2 = 2/4
   • For n = 3: 1/2 × 3/3 = 3/6
   • For n = 4: 1/2 × 4/4 = 4/8
3. Therefore, 2/4, 3/6, and 4/8 are all equivalent to 1/2.

Visual Representation

This bar chart visually represents the equivalent fractions of 1/2. It clearly shows that all the fractions (1/2, 2/4, 3/6, 4/8) have the same value of 0.5, demonstrating their equivalence.