Question

$\frac{3}{-4}$ -------- $\frac{-5}{6}$ (Compare)

• A. ≥
• B. <
• C. >
• D. =

Answer 1

Answer:

C. >

Concept:

When we have to find the ascending or descending order of a fraction or relation between two fractions we can take the LCM of the denominator and multiply all the terms to get a whole number.

Calculation:

Given:

$\frac{3}{-4}$ -------- $\frac{-5}{6}$ (Compare)

The denominator here is 4 and 6. The LCM of 4 and 6 will be 12.

$\frac{3}{-4}\times{12}=-9$

$\frac{-5}{6}\times{12}=-10$

$\frac{3}{-4}$ -------- $\frac{-5}{6}$ can be written as -9 -------- -10

In number line, left side number is always less than right side number. Here -10 is on the left of -9, therefore -10 is lower than -9.

∴ -10 < -9

\frac{-5}{6} < \frac{3}{-4} or

\frac{3}{-4} > \frac{-5}{6}