Question

x-\frac{1}{3} x=x-1" alt="\frac{3}{5} x-\frac{1}{3} x=x-1" align="absmiddle" class="latex-formula">

Answer 1

Answer:

As an improper fraction: $15/11$

As a mixed number: $1 \frac{4}{11}$

As a decimal: 1.36

Step-by-step explanation:

$3/5x - 1/3x = x - 1$

Find a common denominator between 5 and 3 (15)

$(3 * 3) / 15x - (1 * 5) / 15 = x - 1$

$9/15x - 5/15 = x - 1$

Subtract the fractions

$4/15x = x - 1$

Subtract x from both sides of the equation

$-11/15x = -1$

Multiply both sides of the equation by 15/-11 to simplify

x = 15/11

Hope this helps :)

Answer 2

Answer:

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

                

Step-by-step explanation:

(3)/(5)x-(1)/(3)=x-1

Simplify  (3)/(5)x-(1)/(3)x

(4x)/(15)=x-1

Move all terms containing  x  to the left side of the equation.

-(11x)/(15)=-1

Multiply both sides of the equation by    -(15)/(11)

-(15)/(11)(-(11)/(15))= -(15)/(11) . -1

Simplify both sides of the equation.

(15)/(11)

The result can be shown in multiple forms.

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)