Solve 2(3+4div14*10

$$2 ( 3 + 4 \div 14 \cdot 10$$

Evaluate

$$\frac{82}{7}\approx 11.714285714$$

Solution Steps

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$2\left(3+\frac{2}{7}\times 10\right)$$

Express \frac{2}{7}\times 10 as a single fraction.

$$2\left(3+\frac{2\times 10}{7}\right)$$

Multiply 2 and 10 to get 20.

$$2\left(3+\frac{20}{7}\right)$$

Convert 3 to fraction \frac{21}{7}.

$$2\left(\frac{21}{7}+\frac{20}{7}\right)$$

Since \frac{21}{7} and \frac{20}{7} have the same denominator, add them by adding their numerators.

$$2\times \frac{21+20}{7}$$

Add 21 and 20 to get 41.

$$2\times \frac{41}{7}$$

Express 2\times \frac{41}{7} as a single fraction.

$$\frac{2\times 41}{7}$$

Multiply 2 and 41 to get 82.

$$\frac{82}{7}$$

Factor

$$\frac{2 \cdot 41}{7} = 11\frac{5}{7} = 11.714285714285714$$