Solve 3000-300/13120/10

$$\frac{ 3000- \frac{ 300 }{ 13 } 120 }{ 10 }$$

Evaluate

$$\frac{300}{13}\approx 23.076923077$$

Solution Steps

Express \frac{300}{13}\times 120 as a single fraction.

$$\frac{3000-\frac{300\times 120}{13}}{10}$$

Multiply 300 and 120 to get 36000.

$$\frac{3000-\frac{36000}{13}}{10}$$

Convert 3000 to fraction \frac{39000}{13}.

$$\frac{\frac{39000}{13}-\frac{36000}{13}}{10}$$

Since \frac{39000}{13} and \frac{36000}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{39000-36000}{13}}{10}$$

Subtract 36000 from 39000 to get 3000.

$$\frac{\frac{3000}{13}}{10}$$

Express \frac{\frac{3000}{13}}{10} as a single fraction.

$$\frac{3000}{13\times 10}$$

Multiply 13 and 10 to get 130.

$$\frac{3000}{130}$$

Reduce the fraction \frac{3000}{130} to lowest terms by extracting and canceling out 10.

$$\frac{300}{13}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {2}}{13} = 23\frac{1}{13} = 23.076923076923077$$