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X + 3/2x + 1/2x add all of them together to get a total of all the x’s

1 Answer

4 votes

Answer:

the answer is 3x

Explanation:

Step by Step Solution:

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STEP

1

:

1

Simplify —

2

Equation at the end of step

1

:

3 1

(x + (— • x)) + (— • x)

2 2

STEP

2

:

3

Simplify —

2

Equation at the end of step

2

:

3 x

(x + (— • x)) + —

2 2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 2 as the denominator :

x x • 2

x = — = —————

1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 2 + 3x 5x

—————————— = ——

2 2

Equation at the end of step

3

:

5x x

—— + —

2 2

STEP

4

:

Adding fractions which have a common denominator

4.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x + x 6x

—————— = ——

2 2

Reducing to Lowest Terms :

4.2 The above result can still be reduced :

6x

—— = 3x

2

Final result :

3x

User Remeika
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