### 10(0.4+0.5g)=4g

This deals with adding, subtracting and finding the least common multiple.

You are watching: 10(0.4+0.5g)=4g

## Step by action Solution

### Reformatting the input :

Changes do to her input should not influence the solution: (1): "0.5" was replaced by "(5/10)". 2 an ext similar replacement(s)

### Rearrange:

Rearrange the equation by subtracting what is to the ideal of the equal sign from both political parties of the equation : 10*((4/10)+(5/10)*g)-(4*g)=0

## Step 1 :

1 simplify — 2Equation in ~ the finish of action 1 : 4 1 (10 • (—— + (— • g))) - 4g = 0 10 2

## Step 2 :

2 simplify — 5Equation in ~ the finish of step 2 : 2 g (10 • (— + —)) - 4g = 0 5 2

## Step 3 :

Calculating the Least usual Multiple :3.1 find the Least usual Multiple The left denominator is : 5 The ideal denominator is : 2

Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5101
2011
Product that allPrime Factors5210

Least usual Multiple: 10

Calculating multiplier :

3.2 calculation multipliers for the 2 fractions denote the Least typical Multiple by L.C.M represent the Left Multiplier by Left_M signify the appropriate Multiplier by Right_M denote the Left Deniminator through L_Deno denote the ideal Multiplier through R_DenoLeft_M=L.C.M/L_Deno=2Right_M=L.C.M/R_Deno=5

Making tantamount Fractions :

3.3 Rewrite the two fractions into equivalent fractionsTwo fountain are referred to as equivalent if they have actually the exact same numeric value. For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are identical as well. To calculation equivalent fraction , multiply the numerator of every fraction, by its corresponding Multiplier.

L. Mult. • L. Num. 2 • 2 —————————————————— = ————— L.C.M 10 R. Mult. • R.

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Num. G • 5 —————————————————— = ————— L.C.M 10 including fractions that have actually a typical denominator :3.4 adding up the two tantamount fractions include the two equivalent fractions i beg your pardon now have actually a usual denominatorCombine the molecule together, put the sum or distinction over the typical denominator then minimize to lowest state if possible:

2 • 2 + g • 5 5g + 4 ————————————— = —————— 10 10 Equation in ~ the end of action 3 : (5g + 4) (10 • ————————) - 4g = 0 10

## Step 4 :

Equation in ~ the end of step 4 : (5g + 4) - 4g = 0

## Step 5 :

Equation at the end of action 5 : g + 4 = 0

## Step 6 :

Solving a solitary Variable Equation:6.1Solve:g+4 = 0Subtract 4 indigenous both sides of the equation:g = -4