Math, asked by KaranAulakh8376, 9 months ago

[ 0.027 ] –⅓
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Answers

Answered by 3011B
1

-919

———— = -0.30633

3000

((27/1000))-1/3

Final result :

-919

———— = -0.30633

3000

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.027" was replaced by "(027/1000)".

Step by step solution :

Step 1 :

1

Simplify —

3

Equation at the end of step 1 :

27 1

———— - —

1000 3

Step 2 :

27

Simplify ————

1000

Equation at the end of step 2 :

27 1

———— - —

1000 3

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 1000

The right denominator is : 3

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

2 3 0 3

5 3 0 3

3 0 1 1

Product of all

Prime Factors 1000 3 3000

Least Common Multiple:

3000

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 = 3

Right_M = L.C.M / R_Deno = 1000

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 27 • 3

—————————————————— = ——————

L.C.M 3000

R. Mult. • R. Num. 1000

—————————————————— = ————

L.C.M 3000

Adding fractions that have a common denominator :

3.4 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:

27 • 3 - (1000) -919

——————————————— = ————

3000 3000

Final result :

-919

———— = -0.30633

3000

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