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 top number and the denominator is the bottom number.

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) of all the fractions involved.

Front

What is the least common denominator (LCD)?

Back

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

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side of the equation and all other terms are on the opposite side.

Front

Solve for w: 3w - 5/2 = 7/2

Back

w = 4.

Front

Solve for k: 2k + 3/4 = 11/4

Back

k = 2.

Front

Solve for x: 5/6x = 10

Back

x = 12.

Front

Solve for m: 4m + 1/3 = 5/3

Back

m = 1.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.

Front

How do you add fractions?

Back

To add fractions, you need a common denominator. Once you have a common denominator, add the numerators and keep the denominator the same.