What is the answer to 6 m/((m+222))*100=10,m ?

The answer to 6 m/((m+222))*100=10,m is m= 222/59

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6 m/((m+222))*100=10,m

6 \frac{m}{( m + 222 )} \cdot 100 = 10, m

m = \frac{222}{59}

Decimal Notation

m = 3.76271 \dots

Solution steps

6 \cdot \frac{m}{( m + 222 )} \cdot 100 = 10

Simplify

6 \cdot \frac{m}{m + 222} \cdot 100 : \frac{600 m}{m + 222}

\frac{600 m}{m + 222} = 10

Multiply both sides by

m + 222

600 m = 10 (m + 222)

Expand

10 (m + 222) : 10 m + 2220

600 m = 10 m + 2220

Move

10 m

to the left side

590 m = 2220

Divide both sides by

590

m = \frac{222}{59}

Verify Solutions

Find undefined (singularity) points:

m = - 222

Combine undefined points with solutions:

m = \frac{222}{59}

\frac{( x - 1 )}{( x - 2 )} + \frac{( x - 2 )}{( x - 1 )} = \frac{5}{2}

\frac{( 9 x + 7 )}{2 - ( x - \frac{( x - 2 )}{7} )} = - 36

\frac{n !}{( n - 2 ) !} = 506

\frac{1}{q ^{2}} = 9

(\frac{x + 1}{x})^{2} = 2 (\frac{x + 1}{x}) + 3

What is the answer to 6 m/((m+222))*100=10,m ?
The answer to 6 m/((m+222))*100=10,m is m= 222/59
Solve for m: 6 m/((m+222))*100=10,m
The solution is m= 222/59