Solving Equations: Clearing Fractions

Find the least common denominator of these fractions: 

 $\frac{2}{7}\ \ \ \ \ \ \frac{2}{21}$  

• 7

• 21

• 18

• 147

Tags

CCSS.HSA.APR.D.7

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

• top

• bottom

Tags

CCSS.4.NF.A.2

What is the least common denominator of 1/9 and 2/3?

• 6
• 3
• 9
• 21

Tags

CCSS.4.NF.A.2

What do you multiply each term of an equation by to clear fractions?

• The greatest common factor
• The least common denominator
• whatever number you want
• zero

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

Solve the equation by first clearing fractions:

$$\frac{1}{8}x+\frac{1}{4}=\frac{5}{8}$$

• x = 1/8

• x = 4

• x = 3

• solution not listed

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve for c by clearing the fractions.

• 1/3

• 2/3

• 1

• 2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

What is the first step to solve this equation?

• Move all the variables to one side.

• Move all the constants to one side.

• Find the least common denominator.

• Plug in a number for X.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What should you do next after finding the LCD?

• Move all the constants to one side.

• Move all the variables to one side.

• Multiply the LCD to all the variables

• Multiply the LCD to every term of the equation.

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

When solving this equation by clearing the fractions, what number would you multiply each term in the equation by?

 $\frac{2}{3}a+\frac{1}{4}a-8=7$  

• 3

• 4

• 12

• 15

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve this equation by clearing the fraction.

• x = -18

• x = 66

• x = 5

• x = -3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3