Equivalent Fractions Worksheet Answers

Understanding Equivalent Fractions

Equivalent fractions are fractions that have the same value, even if they are written differently. For example, ¹⁄₂, ²⁄₄, and ³⁄₆ are all equivalent fractions. They all represent the same part of a whole, which is half.

Why are Equivalent Fractions Important?

Equivalent fractions are essential in math because they help us to:

• Simplify fractions: By finding equivalent fractions, we can simplify complex fractions to their simplest form.
• Compare fractions: Equivalent fractions enable us to compare fractions that have different denominators.
• Add and subtract fractions: To add or subtract fractions, we need to find equivalent fractions with the same denominator.

How to Find Equivalent Fractions

To find equivalent fractions, we can use the following steps:

• Multiply the numerator and denominator by the same number.
• Divide the numerator and denominator by the same number.

For example, to find an equivalent fraction of ¹⁄₂, we can multiply the numerator and denominator by 2, which gives us ²⁄₄.

Equivalent Fractions Worksheet

Here is a worksheet with 10 equivalent fraction problems. Try to find the equivalent fraction for each problem.

📝 Note: Remember to multiply or divide the numerator and denominator by the same number to find equivalent fractions.

Simplifying Equivalent Fractions

Once we have found equivalent fractions, we can simplify them to their simplest form. To simplify a fraction, we need to divide the numerator and denominator by the greatest common divisor (GCD).

For example, the equivalent fraction ⁶⁄₈ can be simplified to ³⁄₄ by dividing the numerator and denominator by 2.

Conclusion

Equivalent fractions are essential in math because they help us to simplify, compare, and add and subtract fractions. By following the steps outlined in this worksheet, you can find equivalent fractions and simplify them to their simplest form.