Solve -2/3<5/-8quad5/-1

$$\frac { - 2 } { 3 } < \frac { 5 } { - 8 } \quad \frac { 5 } { - 1 }$$

Verify

Solution Steps

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{2}{3}<\frac{5}{-8}\times \frac{5}{-1}$$

Fraction \frac{5}{-8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$-\frac{2}{3}<-\frac{5}{8}\times \frac{5}{-1}$$

Fraction \frac{5}{-1} can be rewritten as -5 by extracting the negative sign.

$$-\frac{2}{3}<-\frac{5}{8}\left(-5\right)$$

Express -\frac{5}{8}\left(-5\right) as a single fraction.

$$-\frac{2}{3}<\frac{-5\left(-5\right)}{8}$$

Multiply -5 and -5 to get 25.

$$-\frac{2}{3}<\frac{25}{8}$$

Least common multiple of 3 and 8 is 24. Convert -\frac{2}{3} and \frac{25}{8} to fractions with denominator 24.

$$-\frac{16}{24}<\frac{75}{24}$$

Compare -\frac{16}{24} and \frac{75}{24}.

$$\text{true}$$