Solving Equations with Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

How do you solve an equation with fractions?

Back

To solve an equation with fractions, you can eliminate the fractions by multiplying both sides of the equation by the least common denominator (LCD).

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

Solve for m: 3/4 m = -15

Back

m = -20.

Front

Solve for x: 1/5 x = 1

Back

x = 5.

Front

Solve for x: 2/3 x + 4 = 10

Back

x = 9.

Front

What is the process of isolating a variable?

Back

Isolating a variable involves rearranging an equation to get the variable on one side and the constants on the other side.

Front

Solve for w: 5/8 w = 20

Back

w = 32.

Front

What does it mean to cross-multiply?

Back

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

Front

Solve for k: 4k/5 = 36

Back

k = 45.