Solve 4/1-5/4m+8

$$\frac { 4 } { 1 } - \frac { 5 } { 4 m + 8 }$$

Evaluate

$$\frac{16m+27}{4\left(m+2\right)}$$

Short Solution Steps

Anything divided by one gives itself.

$$4-\frac{5}{4m+8}$$

Factor 4m+8.

$$4-\frac{5}{4\left(m+2\right)}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{4\left(m+2\right)}{4\left(m+2\right)}.

$$\frac{4\times 4\left(m+2\right)}{4\left(m+2\right)}-\frac{5}{4\left(m+2\right)}$$

Since \frac{4\times 4\left(m+2\right)}{4\left(m+2\right)} and \frac{5}{4\left(m+2\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 4\left(m+2\right)-5}{4\left(m+2\right)}$$

Do the multiplications in 4\times 4\left(m+2\right)-5.

$$\frac{16m+32-5}{4\left(m+2\right)}$$

Combine like terms in 16m+32-5.

$$\frac{16m+27}{4\left(m+2\right)}$$

Expand 4\left(m+2\right).

$$\frac{16m+27}{4m+8}$$

Factor

$$\frac{16m+27}{4\left(m+2\right)}$$