Question

express the following rational number in standard form 299|-161

Answer 1

299/169=   −23/13   (-1.769231)

Answer 2

Given:

$\dfrac{299}{161}$

We have to express the given number in standard form.

Solution:

∴ $\dfrac{299}{161}$

299 = 13 × 23 and

161 = 7 × 13

The common factor of 299 and 161 = 23

∴ The common factor of 299 and 161 = 23

Dividing numerator and denominator by 23, we get

$=\dfrac{\frac{299}{23} }{\dfrac{161}{23} }$

= $\dfrac{13}{7}$

= 1.857142... as a repeating decimal

Thus, the standard form of $\dfrac{299}{161}$ is $\dfrac{13}{7}$ or, "1.857142....".