Solve 49:343:64:-8

$$49 : 343 : 64 : - 8$$

Evaluate

$$-\frac{1}{3584}\approx -0.000279018$$

Solution Steps

Express \frac{\frac{\frac{49}{343}}{64}}{-8} as a single fraction.

$$\frac{\frac{49}{343}}{64\left(-8\right)}$$

Reduce the fraction \frac{49}{343} to lowest terms by extracting and canceling out 49.

$$\frac{\frac{1}{7}}{64\left(-8\right)}$$

Multiply 64 and -8 to get -512.

$$\frac{\frac{1}{7}}{-512}$$

Express \frac{\frac{1}{7}}{-512} as a single fraction.

$$\frac{1}{7\left(-512\right)}$$

Multiply 7 and -512 to get -3584.

$$\frac{1}{-3584}$$

Fraction \frac{1}{-3584} can be rewritten as -\frac{1}{3584} by extracting the negative sign.

$$-\frac{1}{3584}$$

Factor

$$-\frac{1}{3584} = -0.00027901785714285713$$