Question

Expand and or simply each of the following. expression 1/2x+1/4y -2/5y-1/3x
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Answer 1

Answer:

:

1

Simplify —

4

Equation at the end of step

1

:

1 1

((— • x) - (— • y)) • 2

2 4

STEP

2

:

1

Simplify —

2

Equation at the end of step

2

:

1 y

((— • x) - —) • 2

2 4

STEP

3

:

Calculating the Least Common Multiple

3.1 Find the Least Common Multiple

The left denominator is : 2

The right denominator is : 4

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

2 1 2 2

Product of all

Prime Factors 2 4 4

Least Common Multiple:

4

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 2

Right_M = L.C.M / R_Deno = 1

Answer 2

Step-by-step explanation:

(1/2x-1/3x)+(1/4y-2/5y)

1/6x+(-3/20y)

1/6x-3/20y