Solving Equations with Fractions

Front

What is a fraction?

Back

Tags

CCSS.3.NF.A.2B

CCSS.3.NF.A.1

Front

How do you solve an equation with fractions?

Back

To solve an equation with fractions, find a common denominator, eliminate the fractions by multiplying both sides by that denominator, and then solve the resulting equation.

Tags

CCSS.8.EE.C.7B

Front

Back

The first step is to find a common denominator for all fractions involved, which in this case is 6.

Front

What does it mean to isolate a variable?

Back

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

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Back

Tags

CCSS.6.EE.B.7

Front

What is the reciprocal of a fraction?

Back

Front

How do you check your solution after solving an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

What is the importance of finding a common denominator?

Back

Finding a common denominator allows you to combine or compare fractions easily, making it simpler to solve equations involving fractions.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

Back

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true, often resulting in a contradiction.

Tags

CCSS.8.EE.C.7A