Solve -44:-47:-39:-42:-34:-37=

$$- 44 : - 47 : - 39 : - 42 : - 34 : - 37 =$$

Evaluate

$$\frac{11}{24212097}\approx 0.000000454$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{-44}{-47}}{-39}}{-42}}{-34}}{-37} as a single fraction.

$$\frac{\frac{\frac{\frac{-44}{-47}}{-39}}{-42}}{-34\left(-37\right)}$$

Express \frac{\frac{\frac{-44}{-47}}{-39}}{-42} as a single fraction.

$$\frac{\frac{\frac{-44}{-47}}{-39\left(-42\right)}}{-34\left(-37\right)}$$

Fraction \frac{-44}{-47} can be simplified to \frac{44}{47} by removing the negative sign from both the numerator and the denominator.

$$\frac{\frac{\frac{44}{47}}{-39\left(-42\right)}}{-34\left(-37\right)}$$

Multiply -39 and -42 to get 1638.

$$\frac{\frac{\frac{44}{47}}{1638}}{-34\left(-37\right)}$$

Express \frac{\frac{44}{47}}{1638} as a single fraction.

$$\frac{\frac{44}{47\times 1638}}{-34\left(-37\right)}$$

Multiply 47 and 1638 to get 76986.

$$\frac{\frac{44}{76986}}{-34\left(-37\right)}$$

Reduce the fraction \frac{44}{76986} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{22}{38493}}{-34\left(-37\right)}$$

Multiply -34 and -37 to get 1258.

$$\frac{\frac{22}{38493}}{1258}$$

Express \frac{\frac{22}{38493}}{1258} as a single fraction.

$$\frac{22}{38493\times 1258}$$

Multiply 38493 and 1258 to get 48424194.

$$\frac{22}{48424194}$$

Reduce the fraction \frac{22}{48424194} to lowest terms by extracting and canceling out 2.

$$\frac{11}{24212097}$$

Factor

$$\frac{11}{3 ^ {2} \cdot 7 \cdot 13 \cdot 17 \cdot 37 \cdot 47} = 4.543183516900664 \times 10^{-7}$$