Solve 2/5*2+5/4+1/8/-4*6

$$\frac { \frac { 2 } { 5 } \times 2 + \frac { 5 } { 4 } + \frac { 1 } { 8 } } { - 4 \cdot 6 }$$

Evaluate

$$-\frac{29}{320}=-0.090625$$

Solution Steps

Express \frac{2}{5}\times 2 as a single fraction.

$$\frac{\frac{2\times 2}{5}+\frac{5}{4}+\frac{1}{8}}{-4\times 6}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{4}{5}+\frac{5}{4}+\frac{1}{8}}{-4\times 6}$$

Least common multiple of 5 and 4 is 20. Convert \frac{4}{5} and \frac{5}{4} to fractions with denominator 20.

$$\frac{\frac{16}{20}+\frac{25}{20}+\frac{1}{8}}{-4\times 6}$$

Since \frac{16}{20} and \frac{25}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{16+25}{20}+\frac{1}{8}}{-4\times 6}$$

Add 16 and 25 to get 41.

$$\frac{\frac{41}{20}+\frac{1}{8}}{-4\times 6}$$

Least common multiple of 20 and 8 is 40. Convert \frac{41}{20} and \frac{1}{8} to fractions with denominator 40.

$$\frac{\frac{82}{40}+\frac{5}{40}}{-4\times 6}$$

Since \frac{82}{40} and \frac{5}{40} have the same denominator, add them by adding their numerators.

$$\frac{\frac{82+5}{40}}{-4\times 6}$$

Add 82 and 5 to get 87.

$$\frac{\frac{87}{40}}{-4\times 6}$$

Multiply -4 and 6 to get -24.

$$\frac{\frac{87}{40}}{-24}$$

Express \frac{\frac{87}{40}}{-24} as a single fraction.

$$\frac{87}{40\left(-24\right)}$$

Multiply 40 and -24 to get -960.

$$\frac{87}{-960}$$

Reduce the fraction \frac{87}{-960} to lowest terms by extracting and canceling out 3.

$$-\frac{29}{320}$$

Factor

$$-\frac{29}{320} = -0.090625$$