Solve 2-b/8+8-3/38^2=

$$\frac { 2 - b } { 8 } + \frac { 8 - 3 } { 38 ^ { 2 } } =$$

Evaluate

$$-\frac{b}{8}+\frac{183}{722}$$

Short Solution Steps

Subtract 3 from 8 to get 5.

$$\frac{2-b}{8}+\frac{5}{38^{2}}$$

Calculate 38 to the power of 2 and get 1444.

$$\frac{2-b}{8}+\frac{5}{1444}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 1444 is 2888. Multiply \frac{2-b}{8} times \frac{361}{361}. Multiply \frac{5}{1444} times \frac{2}{2}.

$$\frac{361\left(2-b\right)}{2888}+\frac{5\times 2}{2888}$$

Since \frac{361\left(2-b\right)}{2888} and \frac{5\times 2}{2888} have the same denominator, add them by adding their numerators.

$$\frac{361\left(2-b\right)+5\times 2}{2888}$$

Do the multiplications in 361\left(2-b\right)+5\times 2.

$$\frac{722-361b+10}{2888}$$

Combine like terms in 722-361b+10.

$$\frac{732-361b}{2888}$$

Expand

$$-\frac{b}{8}+\frac{183}{722}$$

Short Solution Steps

Subtract 3 from 8 to get 5.

$$\frac{2-b}{8}+\frac{5}{38^{2}}$$

Calculate 38 to the power of 2 and get 1444.

$$\frac{2-b}{8}+\frac{5}{1444}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 1444 is 2888. Multiply \frac{2-b}{8} times \frac{361}{361}. Multiply \frac{5}{1444} times \frac{2}{2}.

$$\frac{361\left(2-b\right)}{2888}+\frac{5\times 2}{2888}$$

Since \frac{361\left(2-b\right)}{2888} and \frac{5\times 2}{2888} have the same denominator, add them by adding their numerators.

$$\frac{361\left(2-b\right)+5\times 2}{2888}$$

Do the multiplications in 361\left(2-b\right)+5\times 2.

$$\frac{722-361b+10}{2888}$$

Combine like terms in 722-361b+10.

$$\frac{732-361b}{2888}$$