5.1.2 Equations w/ Fractions

Front

What does it mean to clear fractions in an equation?

Back

Clearing fractions involves multiplying both sides of the equation by the least common denominator (LCD) to eliminate the fractions.

Front

What is the least common denominator (LCD) of the fractions \( \frac{1}{3} \) and \( \frac{1}{4} \)?

Back

The least common denominator (LCD) is 12.

Front

Back

Front

To have a common denominator means two or more fractions have the same number on the ___________ of the fraction line.

Back

bottom

Front

Solve for c by clearing the fractions: \( \frac{c}{3} = \frac{2}{3} \)

Back

c = 2

Front

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

Back

Identify the least common denominator and multiply both sides of the equation by it.

Front

Back

x = 1

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as \( \frac{a}{b} \), where a is the numerator and b is the denominator.

Front

What is the definition of a numerator?

Back

The numerator is the top part of a fraction that indicates how many parts are being considered.

Front

What is the definition of a denominator?

Back

The denominator is the bottom part of a fraction that indicates the total number of equal parts in a whole.