Question

Express each of the following rational numbers in standard form :

(i) $\frac{-12}{30}$ (ii) $\frac{-14}{49}$ (iii) $\frac{24}{-64}$ (iv) $\frac{-36}{-63}$

Answer 1

(i) $\frac{-12}{30}$

H.C.F. of 12 and 30 = 6

$\therefore$ Dividing the numerator and denominator by 6, then $\frac{-12}{30}$

$=\frac{12÷6}{30÷6}=\frac{-2}{5}$

(ii) $\frac{-14}{49}$

H.C.F. of 14 and 49 = 7

Dividing the numerator and denominator by 7 then.

$\frac{-14}{49}=\frac{-14÷7}{49÷7}=\frac{-2}{7}$

(iii) $\frac{24}{-64}$

H.C.F. of 24 and 64 = 8

Dividing the numerator and denominator by 8, then

$\frac{24}{-64}=\frac{24÷8}{-64÷8}=\frac{3}{-8}$

(iv) $\frac{-36}{-63}$

H.C.F. of 36 and 63 = 9

Dividing the numerator and denominator by -9, then

$\frac{-36}{-63}=\frac{-36÷(-9)}{-63÷(-9)}=\frac{4}{7}$