Solve 1/8+2(9/7)div15/3

$$\frac{ 1 }{ 8 } + 2 ( \frac{ 9 }{ 7 } ) \div \frac{15}{3}$$

Evaluate

$$\frac{179}{280}\approx 0.639285714$$

Solution Steps

Express 2\times \frac{9}{7} as a single fraction.

$$\frac{1}{8}+\frac{\frac{2\times 9}{7}}{\frac{15}{3}}$$

Multiply 2 and 9 to get 18.

$$\frac{1}{8}+\frac{\frac{18}{7}}{\frac{15}{3}}$$

Divide 15 by 3 to get 5.

$$\frac{1}{8}+\frac{\frac{18}{7}}{5}$$

Express \frac{\frac{18}{7}}{5} as a single fraction.

$$\frac{1}{8}+\frac{18}{7\times 5}$$

Multiply 7 and 5 to get 35.

$$\frac{1}{8}+\frac{18}{35}$$

Least common multiple of 8 and 35 is 280. Convert \frac{1}{8} and \frac{18}{35} to fractions with denominator 280.

$$\frac{35}{280}+\frac{144}{280}$$

Since \frac{35}{280} and \frac{144}{280} have the same denominator, add them by adding their numerators.

$$\frac{35+144}{280}$$

Add 35 and 144 to get 179.

$$\frac{179}{280}$$

Factor

$$\frac{179}{2 ^ {3} \cdot 5 \cdot 7} = 0.6392857142857142$$