What is the answer to (a+4)/(3a)=7+1/a ?

The answer to (a+4)/(3a)=7+1/a is a= 1/20

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(a+4)/(3a)=7+1/a

\frac{a + 4}{3 a} = 7 + \frac{1}{a}

a = \frac{1}{20}

Decimal Notation

a = 0.05

Solution steps

\frac{a + 4}{3 a} = 7 + \frac{1}{a}

Multiply by LCM

a + 4 = 21 a + 3

Move

4

to the right side

a = 21 a - 1

Move

21 a

to the left side

- 20 a = - 1

Divide both sides by

- 20

a = \frac{1}{20}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{1}{20}

\frac{A x + B}{x} = \frac{C x}{D}

\frac{z + 22}{z} = 12

\frac{x + 3}{2 + x} = \frac{2}{3}

\frac{3}{x} = 8

\frac{64}{x} (1 + x + x^{2}) = 56

What is the answer to (a+4)/(3a)=7+1/a ?
The answer to (a+4)/(3a)=7+1/a is a= 1/20
Solve for a: (a+4)/(3a)=7+1/a
The solution is a= 1/20