Question

x/2+x/3=1/6 solve the equation​

Answer 1

Answer:

x/2+x/3=1/6

3x/6 + 2x/6 = 1/6

5x/6 = 1/6

5x=1

x=1/5

Answer 2

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x-2/3-(1/6)=0

Step by step solution :

STEP

1

:

1

Simplify —

6

Equation at the end of step

1

:

2 1

(x - —) - — = 0

3 6

STEP

2

:

2

Simplify —

3

Equation at the end of step

2

:

2 1

(x - —) - — = 0

3 6

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 3 as the denominator :

x x • 3

x = — = —————

1 3

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 • 3 - (2) 3x - 2

——————————— = ——————

3 3

Equation at the end of step

3

:

(3x - 2) 1

———————— - — = 0

3 6

STEP

4

:

Calculating the Least Common Multiple

4.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 6