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 help in comparing, adding, and subtracting fractions.

Front

Give an example of equivalent fractions.

Back

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

Front

What is the first step to find equivalent fractions for 3/5?

Back

Multiply both the numerator (3) and the denominator (5) by the same whole number.

Front

If you divide the fraction 6/8 by 2, what is the equivalent fraction?

Back

3/4 is the equivalent fraction.

Front

What is the relationship between equivalent fractions and simplifying fractions?

Back

Simplifying a fraction involves 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 and compare the products; if they are equal, the fractions are equivalent.

Front

What is the role of the greatest common divisor (GCD) in finding equivalent fractions?

Back

The GCD can be used to simplify fractions to their equivalent form with the smallest numerator and denominator.

Front

Can equivalent fractions have different denominators?

Back

Yes, equivalent fractions can have different denominators as long as they represent the same value.