5.1.2 Fraction Busters review

Front

What is a fraction?

Back

A fraction represents a part of a whole, expressed as a numerator (top number) over a denominator (bottom number).

Front

What does it mean to eliminate a fraction in an equation?

Back

To eliminate a fraction means to remove it from the equation, often by multiplying both sides by the denominator.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing for easy addition or subtraction.

Front

How do you find the least common denominator (LCD) of two fractions?

Back

The least common denominator is the smallest multiple that both denominators share.

Front

What is the first step in solving an equation with fractions?

Back

The first step is often to eliminate the fractions by multiplying both sides by a common denominator.

Front

If you multiply both sides of an equation by a number, what must you ensure?

Back

You must ensure that you multiply both sides by the same number to maintain the equality.

Front

What is the result of multiplying a fraction by its denominator?

Back

The result is the numerator, as the denominator cancels out.

Front

How do you solve for x in the equation 2/x = 1/3?

Back

Multiply both sides by 3x to get 2*3 = x, so x = 6.

Front

What is the process of cross-multiplication?

Back

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other to solve equations involving fractions.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common factor.