Solve (300+42/6+4)/4

$$\frac { ( \frac { 300 + 42 } { 6 + 4 } ) } { 4 }$$

Evaluate

$$\frac{171}{20}=8.55$$

Solution Steps

Express \frac{\frac{300+42}{6+4}}{4} as a single fraction.

$$\frac{300+42}{\left(6+4\right)\times 4}$$

Add 300 and 42 to get 342.

$$\frac{342}{\left(6+4\right)\times 4}$$

Add 6 and 4 to get 10.

$$\frac{342}{10\times 4}$$

Multiply 10 and 4 to get 40.

$$\frac{342}{40}$$

Reduce the fraction \frac{342}{40} to lowest terms by extracting and canceling out 2.

$$\frac{171}{20}$$

Factor

$$\frac{3 ^ {2} \cdot 19}{2 ^ {2} \cdot 5} = 8\frac{11}{20} = 8.55$$