Question

Convert the following rational numbers into decimal form.
(1)$\frac{8}{13}$

(2)$\frac{11}{7}$

(3)$\frac{5}{16}$

(4)$\frac{7}{9}$

Answer 1

(1) $\frac{8}{13}$

$130.615384680-7820-1370-6550-39110-10460-5280-782$

So, $\frac{8}{13}=0.\overline{615384}$

(2) $\frac{11}{7}$

$71.571428511-740-3550-4910-730-2820-1460-564035\overline{5}$

So, $\frac{11}{7}=1.\overline{571428}$

(3) $\frac{5}{16}$

$160.312550-4820-1640-3280-800$

So, $\frac{5}{16}=0.3125$


(4) $\frac{7}{9}$

$90.7770-6370-637$

So, $\frac{7}{9}=0.\overline{7}$