Question

17. write each of the following rational
number in standard form:
-27/45 full examination-14/-49



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Answer 1

Answer:

$\frac{-3}{5} and \frac{2}{7\\}$

Conditions For a Number To Be In its Standard Form:

• Its denominator should always be positive
• The HCF of the numerator should be 1. Basically the Rational number should be in its lowest form.

Detailed Answer:

$\frac{-27}{45}$    the denominator is already positive. So that is not a problem for us.

But however the Numerator and Denominator have a common factor which is clearly 9.

So we divide numerator and denominator by 9.

$\frac{-27/9}{45/9}$  which will give us $\frac{-3}{5\\}$.

$\frac{-14}{-49\\}$ the denominator is negative. So to make it positive, we must multiply the rational number by $\frac{-1}{-1}$ which would give us $\frac{14}{49}$

Now clearly the HCF of numerator and denominator have a common factor which is clearly 7.

So we divide numerator and denominator by 7.

$\frac{14/7}{49/7}$  which will give us $\frac{2}{7\\}$.

Thank you,

Hope it Helps.