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 you can simplify them to the same fraction or if their cross products are equal.

Front

What is the cross-multiplication method for checking equivalent fractions?

Back

To check if a/b = c/d, cross-multiply to see if a*d = b*c.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you convert a fraction to an equivalent fraction with a different denominator?

Back

Multiply the numerator and denominator of the original fraction by the same number to get an equivalent fraction.

Front

What is the equivalent fraction of 1/2 with a denominator of 8?

Back

The equivalent fraction is 4/8.

Front

If 3/4 = x/8, what is the value of x?

Back

x = 6.

Front

What is the relationship between the numerators and denominators of equivalent fractions?

Back

The ratio of the numerator to the denominator remains constant in equivalent fractions.

Front

What fraction is equivalent to 5/5?

Back

1, since any number divided by itself equals 1.

Front

How do you find an equivalent fraction for 2/3?

Back

Multiply both the numerator and denominator by the same non-zero integer, e.g., 2/3 = (2*4)/(3*4) = 8/12.