Solve 1+1/frac{1{4}}=4b+16/

$$1 + \frac { 1 } { \frac { 1 } { 4 } } = \frac { 4 b + 16 } { }$$

Solve for b

$$b = -\frac{11}{4} = -2\frac{3}{4} = -2.75$$

Steps for Solving Linear Equation

Divide 1 by \frac{1}{4} by multiplying 1 by the reciprocal of \frac{1}{4}.

$$1+1\times 4=\frac{4b+16}{1}$$

Multiply 1 and 4 to get 4.

$$1+4=\frac{4b+16}{1}$$

Add 1 and 4 to get 5.

$$5=\frac{4b+16}{1}$$

Anything divided by one gives itself.

$$5=4b+16$$

Swap sides so that all variable terms are on the left hand side.

$$4b+16=5$$

Subtract 16 from both sides.

$$4b=5-16$$

Subtract 16 from 5 to get -11.

$$4b=-11$$

Divide both sides by 4.

$$b=\frac{-11}{4}$$

Fraction \frac{-11}{4} can be rewritten as -\frac{11}{4} by extracting the negative sign.

$$b=-\frac{11}{4}$$