Solve 3/8a-4=-1/4

$$\frac { 3 } { 8 } a - 4 = - \frac { 1 } { 4 }$$

Solve for a

$$a=10$$

Steps for Solving Linear Equation

Add 4 to both sides.

$$\frac{3}{8}a=-\frac{1}{4}+4$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{3}{8}a=-\frac{1}{4}+\frac{16}{4}$$

Since -\frac{1}{4} and \frac{16}{4} have the same denominator, add them by adding their numerators.

$$\frac{3}{8}a=\frac{-1+16}{4}$$

Add -1 and 16 to get 15.

$$\frac{3}{8}a=\frac{15}{4}$$

Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.

$$a=\frac{15}{4}\times \frac{8}{3}$$

Multiply \frac{15}{4} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{15\times 8}{4\times 3}$$

Do the multiplications in the fraction \frac{15\times 8}{4\times 3}.

$$a=\frac{120}{12}$$

Divide 120 by 12 to get 10.

$$a=10$$