Equivalent Fractions

Front

What are equivalent fractions?

Back

Fractions that represent the same value or proportion, even though they may have different numerators and denominators.

Front

How can you create equivalent fractions?

Back

By multiplying or dividing the numerator and denominator of a fraction by the same non-zero whole number.

Front

What is the importance of equivalent fractions in mathematics?

Back

They allow for the simplification of fractions and are essential for performing operations like addition and subtraction with fractions.

Front

Give an example of equivalent fractions for 1/2.

Back

1/2, 2/4, 3/6, and 4/8 are all equivalent fractions.

Front

What is the first step to find equivalent fractions for a given fraction?

Back

Choose a whole number to multiply or divide both the numerator and denominator.

Front

If you have the fraction 3/5, what is an equivalent fraction if you multiply by 2?

Back

6/10 is an equivalent fraction to 3/5 when multiplied by 2.

Front

What happens to the value of a fraction when you multiply both the numerator and denominator by the same number?

Back

The value of the fraction remains the same, but the fraction itself changes.

Front

Can you create equivalent fractions by adding or subtracting the same number from the numerator and denominator?

Back

No, adding or subtracting the same number from the numerator and denominator does not create equivalent fractions.

Front

What is the relationship between equivalent fractions and simplifying fractions?

Back

Simplifying a fraction is finding an equivalent fraction with the smallest possible numerator and denominator.

Front

How do you determine if two fractions are equivalent?

Back

Cross-multiply the fractions; if the products are equal, the fractions are equivalent.