Question

Find the HCF by the division method and reduce to the simplest form.

(i) $\frac{275}{525}$

(ii) $\frac{76}{133}$

(iii) $\frac{161}{69}$

Answer 1

(i)

HCF = 25
$$\begin{gathered} \therefore \frac{275}{525}=\frac{275÷25}{525÷25} \\ =\frac{11}{21} \end{gathered}$$

(ii)

HCF = 19
$$\begin{gathered} \therefore \frac{76}{133}=\frac{76÷19}{133÷19} \\ =\frac{4}{7} \end{gathered}$$

(iii)

HCF = 23
$$\begin{gathered} \therefore \frac{161}{69}=\frac{161÷23}{69÷23} \\ =\frac{7}{3} \end{gathered}$$