Solve 105*(1-2/7)

$$105 \times (1- \frac{ 2 }{ 7 } )$$

Evaluate

$$75$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$105\left(\frac{7}{7}-\frac{2}{7}\right)$$

Since \frac{7}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$105\times \frac{7-2}{7}$$

Subtract 2 from 7 to get 5.

$$105\times \frac{5}{7}$$

Express 105\times \frac{5}{7} as a single fraction.

$$\frac{105\times 5}{7}$$

Multiply 105 and 5 to get 525.

$$\frac{525}{7}$$

Divide 525 by 7 to get 75.

$$75$$

Factor

$$3\times 5^{2}$$