Equivalent Fractions - Number Line

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 determine if two fractions are equivalent?

Back

By cross-multiplying the fractions and checking if the products are equal.

Front

What is the importance of equivalent fractions in mathematics?

Back

They help in simplifying fractions, comparing fractions, and performing operations like addition and subtraction.

Front

Give an example of two equivalent fractions.

Back

1/2 and 2/4 are equivalent fractions.

Front

What is a number line?

Back

A straight line with numbers placed at equal intervals, used to represent numbers visually.

Front

How do you represent fractions on a number line?

Back

By dividing the segment between whole numbers into equal parts based on the denominator and marking the numerator.

Front

What does it mean if two fractions are not equivalent?

Back

It means they represent different values or proportions.

Front

Can you find equivalent fractions for any given fraction?

Back

Yes, by multiplying or dividing both the numerator and denominator by the same non-zero number.

Front

What is the simplest form of a fraction?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

Front

How do you simplify a fraction?

Back

By dividing both the numerator and denominator by their greatest common divisor (GCD).