Solve 260div79*3div(1000+260div79*3)

$$260 \div 79 \times 3 \div (1000+260 \div 79 \times 3)$$

Evaluate

$$\frac{39}{3989}\approx 0.009776886$$

Solution Steps

Express \frac{260}{79}\times 3 as a single fraction.

$$\frac{\frac{260\times 3}{79}}{1000+\frac{260}{79}\times 3}$$

Multiply 260 and 3 to get 780.

$$\frac{\frac{780}{79}}{1000+\frac{260}{79}\times 3}$$

Express \frac{260}{79}\times 3 as a single fraction.

$$\frac{\frac{780}{79}}{1000+\frac{260\times 3}{79}}$$

Multiply 260 and 3 to get 780.

$$\frac{\frac{780}{79}}{1000+\frac{780}{79}}$$

Convert 1000 to fraction \frac{79000}{79}.

$$\frac{\frac{780}{79}}{\frac{79000}{79}+\frac{780}{79}}$$

Since \frac{79000}{79} and \frac{780}{79} have the same denominator, add them by adding their numerators.

$$\frac{\frac{780}{79}}{\frac{79000+780}{79}}$$

Add 79000 and 780 to get 79780.

$$\frac{\frac{780}{79}}{\frac{79780}{79}}$$

Divide \frac{780}{79} by \frac{79780}{79} by multiplying \frac{780}{79} by the reciprocal of \frac{79780}{79}.

$$\frac{780}{79}\times \frac{79}{79780}$$

Multiply \frac{780}{79} times \frac{79}{79780} by multiplying numerator times numerator and denominator times denominator.

$$\frac{780\times 79}{79\times 79780}$$

Cancel out 79 in both numerator and denominator.

$$\frac{780}{79780}$$

Reduce the fraction \frac{780}{79780} to lowest terms by extracting and canceling out 20.

$$\frac{39}{3989}$$

Factor

$$\frac{3 \cdot 13}{3989} = 0.009776886437703684$$