equivalent fractions

Front

What are equivalent fractions?

Back

Equivalent fractions are different fractions that represent the same value or proportion of a whole.

Front

How can you determine if two fractions are equivalent?

Back

Two fractions are equivalent if their cross products are equal, meaning a/b = c/d if and only if a*d = b*c.

Front

What is the missing numerator in the fraction 3/5 = ?/15?

Back

The missing numerator is 9, because 3/5 is equivalent to 9/15.

Front

What is the missing denominator in the fraction 2/3 = 4/?

Back

The missing denominator is 6, because 2/3 is equivalent to 4/6.

Front

What fraction is equal to one whole?

Back

Any fraction where the numerator is equal to the denominator, such as 5/5 or 1/1.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder.

Front

If 1/2 = x/8, what is the value of x?

Back

The value of x is 4, because 1/2 is equivalent to 4/8.

Front

What is the relationship between fractions and division?

Back

Fractions represent division; for example, 3/4 means 3 divided by 4.

Front

How can you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator and express the remainder as a fraction.