Solve a+20/4=27a+2/15

$$\frac { a + 20 } { 4 } = \frac { 27 a + 2 } { 15 }$$

Solve for a

$$a = \frac{292}{93} = 3\frac{13}{93} \approx 3.139784946$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 4,15.

$$15\left(a+20\right)=4\left(27a+2\right)$$

Use the distributive property to multiply 15 by a+20.

$$15a+300=4\left(27a+2\right)$$

Use the distributive property to multiply 4 by 27a+2.

$$15a+300=108a+8$$

Subtract 108a from both sides.

$$15a+300-108a=8$$

Combine 15a and -108a to get -93a.

$$-93a+300=8$$

Subtract 300 from both sides.

$$-93a=8-300$$

Subtract 300 from 8 to get -292.

$$-93a=-292$$

Divide both sides by -93.

$$a=\frac{-292}{-93}$$

Fraction \frac{-292}{-93} can be simplified to \frac{292}{93} by removing the negative sign from both the numerator and the denominator.

$$a=\frac{292}{93}$$