equivalent fractions

Front

What are equivalent fractions?

Back

Equivalent fractions are 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

Two fractions are equivalent if you can simplify them to the same fraction or if you can cross-multiply and get the same product.

Front

What is the process to find a missing number in equivalent fractions?

Back

To find a missing number in equivalent fractions, you can set up a proportion and solve for the unknown value.

Front

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

Back

x = 4, because 1/2 = 4/8.

Front

If 3/4 = 12/y, what is the value of y?

Back

y = 16, because 3/4 = 12/16.

Front

What is the relationship between the numerator and denominator in equivalent fractions?

Back

In equivalent fractions, the ratio of the numerator to the denominator remains constant.

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 greatest common divisor (GCD) is the largest positive integer that divides each of the integers without a remainder.

Front

If 5/10 = x/20, what is the value of x?

Back

x = 10, because 5/10 = 10/20.

Front

What is the importance of equivalent fractions in real-life applications?

Back

Equivalent fractions are important in real-life applications such as cooking, budgeting, and measuring, where different representations of the same quantity are needed.