IXL | Solve one-step equations with decimals and fractions | 6th grade math

or

Solve for

f

.

1

2

=

f

+

3

10

f

=

ref_doc_title.

or

Learn with an example

question

Solve for

x

.

x

+

9

16

=

11

16

x

=

key idea

A solution to an equation is a value of the variable that makes the equation true.

To solve an equation, you can use inverse operations to get the variable by itself.

Addition and subtraction are inverse operations.
Multiplication and division are inverse operations.

Do the same operation to both sides of the equation to preserve equality.

solution

First, identify the operation in the equation.

x

+

9

16

=

11

16

The variable

x

is added to

9

16

.

To get

x

by itself, subtract

9

16

from both sides of the equation.

x

+

9

16

–

9

16

=

11

16

–

9

16

x

=

11

16

–

9

16

x

=

2

16

x

=

1

8

To check your answer, substitute the value of the variable into the equation. If the equation is true, your answer is correct.

x

+

9

16

=

11

16

1

8

+

9

16

=

11

16

2

16

+

9

16

=

Find a common denominator

11

16

Find a common denominator

11

16

=

This equation is true

11

16

This equation is true

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or

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Teacher tools

Work it out

Not feeling ready yet? These can help:

AA.11Solve one-step addition and subtraction equations with decimals and fractions

AA.12Solve one-step multiplication and division equations with decimals and fractions